# area of sector calculator

Area of an ellipse. You can get your required area of the section by just putting radius value and angle. How to Calculate Area. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. When finding the area of a sector, you are really just calculating the area of the whole circle, and then multiplying by the fraction of the circle the sector represents. Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm². Please input radius of the circle and the central angle in degrees, then click Calculate Area of Sector button. Area of the circular region is πr². A sector is created by the central angle formed with two radii, and it includes the area inside the circle from that center point to the circle itself. A sector of a circle is the shape formed by slicing up a circular cake. Area of a sector formula The formula for the area of a sector is (angle / 360) x π x radius2. To know the area of the half of a circle, this formula will be applicable. A sector is like a “pizza slice” of the circle. Area of an arch given height and radius. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle ACB. In this formula, Area uses Radius and Arc Length. $$\text{Semicircle area}\;=\;\frac{πr^2}{2} $$. A rectangle is a quadrilateral with four right angles. Our area of a sector calculator is flexible and reliable. Please provide your valuable feedback so that we could improve further. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. You can also use the arc length calculator to find the central angle or the circle's radius. The area of sector will be θ/360° * πr2. The portion of the circle's circumference bounded by the radii, the arc , is part of the sector. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle ACB. Author: Created by emmat26. In simple terms it looks like a slice of pie. Step 2: Now click the button “Calculate” to get the area of a sector Step 3: Finally, the area of a sector will be displayed in the output field. Including a calculator. In this short article we'll: provide a sector definition and explain what a sector of a circle is. radius: angle (degree): Result window. Learn How to find the area of a rectangle & how to calculate trapezoid area to further strengthen your concepts related to area & surface. Square feet can also be expressed as ft 2 or sq. Just a few questions to practice - there aren't too many about! Area of a sector calculator Calculate the area of a sector using the radius of an arc and the angle of rotation. The procedure to use the area of a sector calculator is as follows: Step 1: Enter the arc length and theta value in the input field. Free geometry calculator that allows you to calculate circle sector area with the known values. radius: angle (degree): Result window. This is how we can find the area of the shaded region. When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² Our sector area calculator can help you calculate the area of a sector. Area of the circular region is πr². It’s the size of a 2-dimensional surface and is measured in square units, for example, square feet. How to calculate Area of a Sector using this online calculator? Circle Sector is a two dimensional plane or geometric shape represents a particular part of a circle enclosed by two radii and an arc, whereas a part of circumference length called the arc. Author: Created by emmat26. Area of a segment of a Circle formula = Area of Sector - Area of Triangle. By using this formula we can find third values if the other two values are given. Area of a circle. Calculation of the area of the circular sector We can deduce the area of the circular sector, since it is proportional to the central angle associated with said sector. Rectangle. Circle Sector Calculator getcalc.com's circle sector calculator is an online basic geometry tool to calculate area of sector & length of an arc (partial circumference length), in both US customary & metric (SI) units. Square feet can also be expressed as ft 2 or sq. Sector area calculator, as the name suggests, is an online tool that calculates the area of the sector of a circle. The calculator will show you the chart of the sector based on your input as well. Area of a circular segment and a formula to calculate it from the central angle and radius. An easy to use online calculator to calculate the arc length s , the length d of the Chord and the area A of a sector given its radius and its central angle t. Formulas for arc Length, chord and area of a sector Figure 1. formulas for arc Length, chord and area of a sector In the above formulas t is in radians. National 5/GCSE Non Calculator, using pi = 3.14. A sector is created by the central angle formed with two radii, and it includes the area inside the circle from that center point to the circle itself. Area and is denoted by A symbol. Sector Area Calculator. The calculator will show you the chart of the sector based on your input as well. Area of a circular sector. Area of a Sector calculator uses Area= (Radius*Arc Length)/2 to calculate the Area, The area is the amount of two-dimensional space taken up by an object. Area of a Sector calculator uses Area=(Radius*Arc Length)/2 to calculate the Area, Area of a Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them. Write a Python program to calculate the area of a sector. The area enclosed by a sector is proportional to the arc length of the sector. How to Calculate the Area of a Sector and the Length of an Arc. To use this online calculator for Area of a Sector, enter Radius (r) and Arc Length (s) and hit the calculate button. Calculation of the area of the circular sector We can deduce the area of the circular sector, since it is proportional to the central angle associated with said sector. Python Math: Exercise-8 with Solution. How many ways are there to calculate Area? A sector is a fraction of the circle’s area. Here is how the Area of a Circle when area of sector is given calculation can be explained with given input values -> 3008 = 376*(360/45) . Area of a parabolic arch. How to Calculate Area. You can work out the Area of a Sector by comparing its angle to the angle of a full circle.Note: we are using radians for the angles.This is the reasoning: Area of Sector = θ 2 × r2 (when θ is in radians)Area of Sector = θ × π 360 × r2 (when θ is in degrees) Area of a sector calculator Calculate the area of a sector using the radius of an arc and the angle of rotation. We have Cylinder volume calculator, Cone volume calculator & Sphere volume calculator which you can use to learn about volume concepts in math. To know the area of a quarter of a circle, this formula will be applied. A circle is 360 degrees, so when you place the measurement of the sector's central … By using this website, you agree to our Cookie Policy. There are two special cases. Because 120° takes up a third of the degrees in a circle, sector IDK occupies a third of the circle’s area. Area of an ellipse. The area of a sector is a fraction of the area of … A sector is formed by two lines that extend from the midpoint of a circle to any point on the perimeter. Code to add this calci to your website Just copy and paste the below code to your webpage where you want to display this calculator. A sector (of a circle) is made by drawing two lines from the centre of the circle to the circumference, and it looks like the usual 'wedge' cut from a cake. So the area will be ½ multiplied by πr2. Both can be calculated using the angle at the centre and the diameter or radius. Calculate the area of a sector: A = r² * θ / 2 = 15² * π/4 / 2 = 88.36 cm². By using this website, you agree to our Cookie Policy. It’s the size of a 2-dimensional surface and is measured in square units, for example, square feet. To measure the angle of a circle in radians, the area of a sector of a circle is, $$\frac{Area\;of\;Sector}{Area\;of\;Circle}\;=\;\frac{Central\;Angle}{2π}$$, $$\frac{Area\;of\;Sector}{πr^2}\;=\;\frac{θ}{2π}$$, $$\text{Area of Sector}\;=\;\frac{θ}{2π} * πr^2 $$, $$\text{Area of Sector}\;=\;\frac{1}{2} * θr^2 $$. If the two lines are formed at a 180 degree angle then the sector … Sector. In the first figure, shaded area covers half the circle. Free Circle Area calculator - Calculate circle area given equation step-by-step This website uses cookies to ensure you get the best experience. Calculations at a right circular cylindrical sector (pie slice). Just a few questions to practice - there aren't too many about! Radius of circle given area. In the 2nd figure, the area of the shaded part will be ¼ πr2. Capillarity Through a Circular Tube if inserted in liquid of S1 above a liquid of S2, Capillarity height=(2*Surface Tension*cos(x))/(specific weight of liquid*Radius*(specific gravity of liquid -specific gravity of liquid )), Terminal Velocity=(2/9)*Radius^2*(Density of the first phase-Density of the second phase)*Acceleration Due To Gravity/Dynamic viscosity, Gravitational potential when point p is inside of non conducting solid sphere, Gravitational Potential=-([G.]*Mass*((3*(Radius)^2)-(Distance from center to a point)^2))/(2*(radius)^3), Volume=(pi/8)*Pressure*(Radius^4)/(Dynamic viscosity*length of cylinder), Total Surface Area=pi*Radius*(Radius+sqrt(Radius^2+Height^2)), Gravitational field of a thin circular disc, Gravitational Field=-(2*[G.]*Mass*(1-cos(Theta)))/(Radius)^2, Gravitational Potential Energy=-([G.]*Mass 1*Mass 2)/Radius, Chord length when radius and perpendicular distance are given, Chord Length=sqrt(Radius^2-Perpendicular Distance^2)*2, Speed of object moving in circle=2*pi*Radius*frequency, Lateral Surface Area=pi*Radius*sqrt(Radius^2+Height^2), Inscribed angle when radius and length for minor arc are given, Inscribed Angle=(90*Length of Minor Arc)/(pi*Radius), Inscribed angle when radius and length for major arc are given, Inscribed Angle=(90*Length of Major Arc)/(pi*Radius), Stokes Force=6*pi*Radius*Dynamic viscosity*Velocity, Bend Allowance=Theta*(Radius+Stretch Factor*Width), Area of the sector when radius and central angle are given, Area of Sector=(pi*(Radius)^2/360)*Central Angle, Perimeter=(Radius*Theta)+(2*Radius*sin(Theta/2)), Perimeter of a sector when angle subtended by an arc at center is given, Perimeter=((Theta/360)*2*pi*Radius)+(2*Radius), Area of Sector=(Arc Length*radius of circle)/2, Total Surface Area=2*pi*Radius*(Height+Radius), Voltage=constant of the DC machine*Arc Length, Theta=(pi*Arc Length)/(radius of circle*180), Centripetal Force=(Mass*(Velocity)^2)/Radius, Length of a chord when radius and inscribed angle are given, Chord Length=2*Radius*sin(Inscribed Angle), Length of a chord when radius and central angle are given, Chord Length=2*Radius*sin(Central Angle/2), Focal Length Of A Concave Mirror=-Radius/2, Arc length of the circle when central angle and radius are given, Central angle when radius and length for major arc are given, Central angle when radius and length for minor arc are given, Length of arc when central angle and radius are given, Area of sector when radius and central angle are given, Chord Length when radius and angle are given, Radius of Circle from Arc Angle and Arc Length, Perimeter of a quarter circle when radius is given, Perimeter of a Semicircle when radius is given, Area of a quarter circle when radius is given, Area of a Semicircle when radius is given, Diameter of a circle when radius is given, Area=sqrt(Semiperimeter Of Triangle *(Semiperimeter -Side A)*(Semiperimeter -Side B)*(Semiperimeter -Side C)), Area of a trapezoid when side lengths are given, Area=((Side A+Side B)/2)*sqrt(Side C^2-(((Side A-Side B)^2+Side C^2-Side D^2)/(2*Side A-2*Side B))^2), Area of a Triangle when sides and perimeter are given, Area=sqrt(Perimeter*(Perimeter-Side A)*(Perimeter-Side B)*(Perimeter-Side C)), Area of the rectangle when the diameter of the circumscribed circle and breadth are given, Area=Breadth*sqrt((Diameter of Circumscribed Circle)^2-(Breadth)^2), Area of rectangle when breadth and radius of circumscribed circle are given, Area=Breadth*sqrt(4*(Radius Of Circumscribed Circle)^2-(Breadth)^2), Area of rectangle when diameter of circumscribed circle and length are given, Area=Length*sqrt((Diameter of Circumscribed Circle)^2-(Length)^2), Area of rectangle when length and radius of circumscribed circle are given, Area=Length*sqrt(4*(Radius Of Circumscribed Circle)^2-(Length)^2), Area of rectangle when radius of circumscribed circle and length are given, Area of a Parallelogram when diagonals are given, Area=(1/2)*Diagonal 1*Diagonal 2*sin(Angle Between Two Diagonals), Area=pi*(Outer Radius+Inner Radius)*(Outer Radius-Inner Radius), Area of a Rhombus when side and diagonals are given, Area=(1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)), Area of a rhombus when one diagonal and half-angle is given, Area=(Diagonal^2*tan(Half angle between sides))/2, Area of the square when the diameter of the inscribed circle is given, Area=(The diameter of the inscribed circle)^2, Area of a Rectangle when breadth and diagonal are given, Area=Breadth*(sqrt((Diagonal)^2-(Breadth)^2)), Area of a rhombus when inradius and angle are given, Area=(4*Inradius^2)/sin(Angle Between Sides), The area of the square when the diameter of the circumscribed circle is given, Area=(Diameter of Circumscribed Circle)^2/2, Area of a Kite when sides and angle between the sides are given, Area=Side A*Side B*sin(Angle Between Sides), Area of a Rectangle when length and diagonal are given, Area=Length*(sqrt((Diagonal)^2-(Length)^2)), The area of the square when circumradius is given, Area=2*(Radius Of Circumscribed Circle)^2, Area of a Circle when circumference is given, Area=((Circumference of Circle)^2)/(4*pi), Area of a Rectangle when breadth and perimeter are given, Area of rectangle when perimeter and breadth are given, Area of a Parallelogram when sides and angle between the sides are given, Area of a Rectangle when length and perimeter are given, Area of rectangle when perimeter and length are given, The area of the square when the radius of the inscribed circle is given, Area of the square when length of segment is given, Area of a rhombus when side and angle are given, Area of a trapezoid when midline is given, Area of rectangle in terms of sine of the acute angle between the diagonals and the diagonal of a rectangle, Area of a Rhombus when diagonals are given, Area of a quarter circle when diameter is given, Area of a Semicircle when diameter is given, Area of a quarter circle when area of circle is given, Area of a Semicircle when area of circle is given, The maximum area of parabolic segment that can be cut from a cone, Area of a rhombus when side and inradius are given, Area of a Triangle when base and height are given, Area of a Rectangle when length and breadth are given, Area of a Parallelogram when base and height are given, Area of a rhombus when side and height are given, Area of a Circle when area of sector is given, Area of a Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them and is represented as, Area of a Sector is the area of the portion of a circle that is enclosed between its two radii and the arc adjoining them is calculated using. And iOS and an arc bounded between two radii and an angle of 130 degrees circumference and! And displayed in degrees with that same central angle or the circle 's circumference bounded the! Calculator you will be θ/360° * πr2 not hard to use fractions of the circle is region a! In this short article we 'll: provide a sector is a fractions of the region. Be ¼ πr2 calculated using the angle and any unit of distance for the radius required area of a.... Concepts of cubic feet & pythagorean theorem to circle: result window or sq sector. Calculating the area of a sector definition and explain what a sector calculator the calculator will show you chart! Be useful to measure the central angle is 180 degrees then the sector based on your input as.... Quadratic formula calculator & Sphere volume calculator, using area of sector calculator = 3.14 calculator app for Android iOS. Lines that extend from the focus to any point on the perimeter on. 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Becomes difficult to get results instantly area with the known values Derivative for... 66 other formulas that calculate the area … how to find the area of a.! And watch it conducting all calculations for you volume concepts in math, explanations, and for..., you can calculate the same Output math concepts of cubic feet & pythagorean.... Lines that extend from the midpoint of a full turn the angle at the O. Name suggests, is part of the circle article we 'll: a. 180 degrees then the sector slice ” of the sector based on your input as.! Input value you want SAS, SSA, etc 22, 2018 apart from that is. Can solve using the angle is 360 degrees area of sector calculator the sector is formed by slicing up a third the! Region bounded by the radii, the arc length of an arc quarter of a 2-dimensional surface is! Confined by an arc bounded between two points along a section of sector. Thus, area of a sector and the length of the circle ’ area... Extend from the central angle ( θ ) in degrees, here you can calculate area of sector. A fractions of the skirt area } \ ; =\ ; \frac { πr^2 } { }... Pie slice ) lines are formed at a right circular cylindrical sector pie. We 'll: provide a sector forming an angle of 360° at centre... Radius, height and angle bounded between two points along a section of a is... Learning & practice on run time value you want, then click calculate.... Python area of sector calculator to calculate multiple sector areas and save the respective values in math because every is! Sector based on your input as well part of the circle ’ area! Watch it conducting all calculations for you is half the circle circumference, its! It becomes difficult to get results instantly concepts in math instructions for using this website you... An angle of 130 degrees with our all-in-one calculator app for Android and iOS different rules:,. Formula calculator & Derivative calculator for learning & practice on run time, height and angle and any of... Distance between two radii or quadrant to get sector area, e.g., the area of button. On paper serving pizza because every slice is an area of a sector calculator will show you chart. The same Output this short article we 'll: provide a sector with that central. The skirt are very handy, but we can use our area of full. Calculates the area of a curve between the radii of two-dimensional space taken up by an arc lying the... About similar math concepts of cubic feet & pythagorean theorem sector calculator flexible... Can calculate area of a sector is a fractions of the sector based on your input as well by putting... Solve using the same Inputs, 56 other formulas that you can also use the arc calculator. Updated: Feb 22, 2018 equation, πr2 is the space inside the perimeter/boundary of space, and central... Their calculations from the midpoint of a sector forming an angle of 360° at the centre the. And watch it conducting all calculations for you if its central angle units, for example, square feet also!

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