Area of Circle given Area of Sector Calculator

✖Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.ⓘ Area of Circular Sector [A]			+10% -10%
✖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 given Area of Sector [A_Circle]

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Formula

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Area of Circle given Area of Sector

Formula

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

Example

`"81m²"=(2*pi*"9m²")/"40°"`

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Download Circular Sector Formulas PDF

Area of Circle given Area of Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Circular Sector: 9 Square Meter --> 9 Square Meter No Conversion Required
Angle of Circular Sector: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Circle = (2*pi*A)/∠_Sector --> (2*pi*9)/0.698131700797601

Evaluating ... ...

A_Circle = 81.0000000000152

STEP 3: Convert Result to Output's Unit

81.0000000000152 Square Meter --> No Conversion Required

FINAL ANSWER

81.0000000000152 ≈ 81 Square Meter <-- Area of Circle of Circular Sector

(Calculation completed in 00.004 seconds)

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< 4 Circular Sector Calculators

Area of Circle given Area of Sector

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

Radius of Circle given Area of Sector

Go Radius of Circular Sector = sqrt((2*Area of Circular Sector)/Angle of Circular Sector)

Inscribed Angle of Circle given Area of Sector

Go Inscribed Angle of Circle = pi-Area of Circular Sector/Radius of Circular Sector^2

Diameter of Circle given Area of Sector

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

Area of Circle given Area of Sector Formula

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

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 Circle given Area of Sector?

Area of Circle given Area of Sector calculator uses Area of Circle of Circular Sector = (2*pi*Area of Circular Sector)/Angle of Circular Sector to calculate the Area of Circle of Circular Sector, Area of Circle given Area of Sector formula is defined as the amount of 2D space enclosed by the Circle inside its perimeter and is calculated using the area of a sector of the Circle. Area of Circle of Circular Sector is denoted by A_Circle symbol.

How to calculate Area of Circle given Area of Sector using this online calculator? To use this online calculator for Area of Circle given Area of Sector, enter Area of Circular Sector (A) & Angle of Circular Sector (∠_Sector) and hit the calculate button. Here is how the Area of Circle given Area of Sector calculation can be explained with given input values -> 81 = (2*pi*9)/0.698131700797601.

FAQ

What is Area of Circle given Area of Sector?

Area of Circle given Area of Sector formula is defined as the amount of 2D space enclosed by the Circle inside its perimeter and is calculated using the area of a sector of the Circle and is represented as A_Circle = (2*pi*A)/∠_Sector or Area of Circle of Circular Sector = (2*pi*Area of Circular Sector)/Angle of Circular Sector. Area of Circular Sector is the total quantity of plane enclosed by the 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.

How to calculate Area of Circle given Area of Sector?

Area of Circle given Area of Sector formula is defined as the amount of 2D space enclosed by the Circle inside its perimeter and is calculated using the area of a sector of the Circle is calculated using Area of Circle of Circular Sector = (2*pi*Area of Circular Sector)/Angle of Circular Sector. To calculate Area of Circle given Area of Sector, you need Area of Circular Sector (A) & Angle of Circular Sector (∠_Sector). With our tool, you need to enter the respective value for Area of Circular Sector & Angle of Circular Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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