Angle of Circular Sector given Area of Circular Sector Calculator

✖Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.ⓘ Area of Circular Sector [A]			+10% -10%
✖Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.ⓘ Radius of Circular Sector [r]			+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 given Area of Circular Sector [∠_Sector]

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Angle of Circular Sector given Area of Circular Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2)
∠_Sector = (2*A)/(r^2)
This formula uses 3 Variables

Variables Used

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 Circular Sector - (Measured in Square Meter) - Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.
Radius of Circular Sector - (Measured in Meter) - Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

STEP 1: Convert Input(s) to Base Unit

Area of Circular Sector: 9 Square Meter --> 9 Square Meter No Conversion Required
Radius of Circular Sector: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Sector = (2*A)/(r^2) --> (2*9)/(5^2)

Evaluating ... ...

∠_Sector = 0.72

STEP 3: Convert Result to Output's Unit

0.72 Radian -->41.252961249427 Degree (Check conversion here)

FINAL ANSWER

41.252961249427 ≈ 41.25296 Degree <-- Angle of Circular Sector

(Calculation completed in 00.007 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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< Angle of Circular Sector Calculators

Angle of Circular Sector given Area of Circular Sector

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

Angle of Circular Sector given Arc Length

LaTeX Go Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector

Angle of Circular Sector given Area of Circular Sector Formula

LaTeX Go

Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2)
∠_Sector = (2*A)/(r^2)

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 Angle of Circular Sector given Area of Circular Sector?

Angle of Circular Sector given Area of Circular Sector calculator uses Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2) to calculate the Angle of Circular Sector, Angle of Circular Sector given Area of Circular Sector is defined as the angle formed by two radii of the Circular Sector, calculated using the area of Circular Sector. Angle of Circular Sector is denoted by ∠_Sector symbol.

How to calculate Angle of Circular Sector given Area of Circular Sector using this online calculator? To use this online calculator for Angle of Circular Sector given Area of Circular Sector, enter Area of Circular Sector (A) & Radius of Circular Sector (r) and hit the calculate button. Here is how the Angle of Circular Sector given Area of Circular Sector calculation can be explained with given input values -> 2363.621 = (2*9)/(5^2).

FAQ

What is Angle of Circular Sector given Area of Circular Sector?

Angle of Circular Sector given Area of Circular Sector is defined as the angle formed by two radii of the Circular Sector, calculated using the area of Circular Sector and is represented as ∠_Sector = (2*A)/(r^2) or Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2). Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector & Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

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

Angle of Circular Sector given Area of Circular Sector is defined as the angle formed by two radii of the Circular Sector, calculated using the area of Circular Sector is calculated using Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2). To calculate Angle of Circular Sector given Area of Circular Sector, you need Area of Circular Sector (A) & Radius of Circular Sector (r). With our tool, you need to enter the respective value for Area of Circular Sector & Radius 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 Angle of Circular Sector?

In this formula, Angle of Circular Sector uses Area of Circular Sector & Radius of Circular Sector. We can use 1 other way(s) to calculate the same, which is/are as follows -

Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector

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