## Radius of Circle given Area of Sector Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Circular Sector = sqrt((2*Area of Circular Sector)/Angle of Circular Sector)
r = sqrt((2*A)/Sector)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Radius of Circular Sector - (Measured in Meter) - Radius of Circular Sector is the radius of 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
r = sqrt((2*A)/∠Sector) --> sqrt((2*9)/0.698131700797601)
Evaluating ... ...
r = 5.07770625193028
STEP 3: Convert Result to Output's Unit
5.07770625193028 Meter --> No Conversion Required
FINAL ANSWER
5.07770625193028 5.077706 Meter <-- Radius of Circular Sector
(Calculation completed in 00.004 seconds)
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Vellore Institute of Technology (VIT), Bhopal
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## <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)

## Radius of Circle given Area of Sector Formula

Radius of Circular Sector = sqrt((2*Area of Circular Sector)/Angle of Circular Sector)
r = sqrt((2*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 Radius of Circle given Area of Sector?

Radius of Circle given Area of Sector calculator uses Radius of Circular Sector = sqrt((2*Area of Circular Sector)/Angle of Circular Sector) to calculate the Radius of Circular Sector, Radius of Circle given Area of Sector formula is defined as the length of any line from the center to any point on the Circle and calculated using the area of a sector of the Circle at a particular central angle. Radius of Circular Sector is denoted by r symbol.

How to calculate Radius of Circle given Area of Sector using this online calculator? To use this online calculator for Radius 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 Radius of Circle given Area of Sector calculation can be explained with given input values -> 5.077706 = sqrt((2*9)/0.698131700797601).

### FAQ

What is Radius of Circle given Area of Sector?
Radius of Circle given Area of Sector formula is defined as the length of any line from the center to any point on the Circle and calculated using the area of a sector of the Circle at a particular central angle and is represented as r = sqrt((2*A)/∠Sector) or Radius of Circular Sector = sqrt((2*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 Radius of Circle given Area of Sector?
Radius of Circle given Area of Sector formula is defined as the length of any line from the center to any point on the Circle and calculated using the area of a sector of the Circle at a particular central angle is calculated using Radius of Circular Sector = sqrt((2*Area of Circular Sector)/Angle of Circular Sector). To calculate Radius 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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