Area of Circular Sector given Area of Circle Calculator

✖Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector.ⓘ Angle of Circular Sector [∠_Sector]			+10% -10%
✖Area of Circle of Circular Sector is the total quantity of plane enclosed by the circle from which the Circular Sector is formed.ⓘ Area of Circle of Circular Sector [A_Circle]			+10% -10%

✖Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.ⓘ Area of Circular Sector given Area of Circle [A]

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Formula

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Area of Circular Sector given Area of Circle

Formula

`"A" = "∠"_{"Sector"}/(2*pi)*"A"_{"Circle"}`

Example

`"8.888889m²"="40°"/(2*pi)*"80m²"`

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Area of Circular Sector given Area of Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector
A = ∠_Sector/(2*pi)*A_Circle
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area of Circular Sector - (Measured in Square Meter) - Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.
Angle of Circular Sector - (Measured in Radian) - Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector.
Area of Circle of Circular Sector - (Measured in Square Meter) - Area of Circle of Circular Sector is the total quantity of plane enclosed by the circle from which the Circular Sector is formed.

STEP 1: Convert Input(s) to Base Unit

Angle of Circular Sector: 40 Degree --> 0.698131700797601 Radian (Check conversion here)
Area of Circle of Circular Sector: 80 Square Meter --> 80 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = ∠_Sector/(2*pi)*A_Circle --> 0.698131700797601/(2*pi)*80

Evaluating ... ...

A = 8.88888888888722

STEP 3: Convert Result to Output's Unit

8.88888888888722 Square Meter --> No Conversion Required

FINAL ANSWER

8.88888888888722 ≈ 8.888889 Square Meter <-- Area of Circular Sector

(Calculation completed in 00.020 seconds)

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Created by Pramod Singh

Indian Institute of Technology (IIT), Guwahati

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National Institute of Technology (NIT), Jamshedpur

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< 3 Area of Circular Sector Calculators

Area of Circular Sector given Area of Circle

Go Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector

Area of Circular Sector given Arc Length

Go Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2

Area of Circular Sector

Go Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2

Area of Circular Sector given Area of Circle Formula

Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector
A = ∠_Sector/(2*pi)*A_Circle

What is a Circular Sector?

Circular Sector is basically a portion of the area of a circle cut through two radii. Geometrically a Circular Sector is the region enclosed by a circular arc and corresponding radii at a particular central angle.

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Area of Circular Sector given Area of Circle?

Area of Circular Sector given Area of Circle calculator uses Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector to calculate the Area of Circular Sector, Area of Circular Sector given Area of Circle is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the area of the circle of which the Circular Sector is a part of. Area of Circular Sector is denoted by A symbol.

How to calculate Area of Circular Sector given Area of Circle using this online calculator? To use this online calculator for Area of Circular Sector given Area of Circle, enter Angle of Circular Sector (∠_Sector) & Area of Circle of Circular Sector (A_Circle) and hit the calculate button. Here is how the Area of Circular Sector given Area of Circle calculation can be explained with given input values -> 8.888889 = 0.698131700797601/(2*pi)*80.

FAQ

What is Area of Circular Sector given Area of Circle?

Area of Circular Sector given Area of Circle is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the area of the circle of which the Circular Sector is a part of and is represented as A = ∠_Sector/(2*pi)*A_Circle or Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector. Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector & Area of Circle of Circular Sector is the total quantity of plane enclosed by the circle from which the Circular Sector is formed.

How to calculate Area of Circular Sector given Area of Circle?

Area of Circular Sector given Area of Circle is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the area of the circle of which the Circular Sector is a part of is calculated using Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector. To calculate Area of Circular Sector given Area of Circle, you need Angle of Circular Sector (∠_Sector) & Area of Circle of Circular Sector (A_Circle). With our tool, you need to enter the respective value for Angle of Circular Sector & Area of Circle of Circular Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Circular Sector?

In this formula, Area of Circular Sector uses Angle of Circular Sector & Area of Circle of Circular Sector. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2
Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2

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