Diameter 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%

✖Diameter of Circle is the length of the chord passing through the center of the Circle.ⓘ Diameter of Circle given Area of Sector [D]

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Diameter of Circle given Area of Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Diameter of Circle - (Measured in Meter) - Diameter of Circle is the length of the chord passing through the center of the Circle.
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

D = 2*sqrt((2*A)/∠_Sector) --> 2*sqrt((2*9)/0.698131700797601)

Evaluating ... ...

D = 10.1554125038606

STEP 3: Convert Result to Output's Unit

10.1554125038606 Meter --> No Conversion Required

FINAL ANSWER

10.1554125038606 ≈ 10.15541 Meter <-- Diameter of Circle

(Calculation completed in 00.004 seconds)

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Circular Sector Calculators

Area of Circle given Area of Sector

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

Radius of Circle given Area of Sector

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

Inscribed Angle of Circle given Area of Sector

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

Diameter of Circle given Area of Sector

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

Diameter of Circle given Area of Sector Formula

LaTeX Go

Diameter of Circle = 2*sqrt((2*Area of Circular Sector)/Angle of Circular Sector)
D = 2*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 Diameter of Circle given Area of Sector?

Diameter of Circle given Area of Sector calculator uses Diameter of Circle = 2*sqrt((2*Area of Circular Sector)/Angle of Circular Sector) to calculate the Diameter of Circle, Diameter of Circle given Area of Sector formula is defined as the length of the chord passing through the center of the Circle and calculated using the area of a sector and angle of circular sector of the Circle. Diameter of Circle is denoted by D symbol.

How to calculate Diameter of Circle given Area of Sector using this online calculator? To use this online calculator for Diameter 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 Diameter of Circle given Area of Sector calculation can be explained with given input values -> 10.15541 = 2*sqrt((2*9)/0.698131700797601).

FAQ

What is Diameter of Circle given Area of Sector?

Diameter of Circle given Area of Sector formula is defined as the length of the chord passing through the center of the Circle and calculated using the area of a sector and angle of circular sector of the Circle and is represented as D = 2*sqrt((2*A)/∠_Sector) or Diameter of Circle = 2*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 Diameter of Circle given Area of Sector?

Diameter of Circle given Area of Sector formula is defined as the length of the chord passing through the center of the Circle and calculated using the area of a sector and angle of circular sector of the Circle is calculated using Diameter of Circle = 2*sqrt((2*Area of Circular Sector)/Angle of Circular Sector). To calculate Diameter 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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