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Diameter of Circle given Area of Sector Formula

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Diameter of Circle is the length of the chord passing through the center of the Circle. Check FAQs

D = 2 \cdot \sqrt{\frac{2 \cdot A}{∠ Sector}}

D - Diameter of Circle?A - Area of Circular Sector?∠_Sector - Angle of Circular Sector?

Diameter of Circle given Area of Sector Example

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Here is how the Diameter of Circle given Area of Sector equation looks like with Values.

Here is how the Diameter of Circle given Area of Sector equation looks like with Units.

Here is how the Diameter of Circle given Area of Sector equation looks like.

10.1554 = 2 \cdot \sqrt{\frac{2 \cdot 9}{40}}

10.1554m = 2 \cdot \sqrt{\frac{2 \cdot 9m²}{40°}}

10.1554 = 2 \cdot \sqrt{\frac{2 \cdot 9}{40}}

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Diameter of Circle given Area of Sector Solution

Follow our step by step solution on how to calculate Diameter of Circle given Area of Sector?

FIRST Step Consider the formula

D = 2 \cdot \sqrt{\frac{2 \cdot A}{∠ Sector}}

Next Step Substitute values of Variables

∴

D = 2 \cdot \sqrt{\frac{2 \cdot 9m²}{40°}}

Next Step Convert Units

∴

D = 2 \cdot \sqrt{\frac{2 \cdot 9m²}{0.6981rad}}

Next Step Prepare to Evaluate

∴

D = 2 \cdot \sqrt{\frac{2 \cdot 9}{0.6981}}

Next Step Evaluate

∴

D = 10.1554125038606m

LAST Step Rounding Answer

∴

D = 10.1554m

Diameter of Circle given Area of Sector Formula Elements

Variables

Functions

Diameter of Circle

Diameter of Circle is the length of the chord passing through the center of the Circle.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Circle

Area of Circular Sector

Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Circular Sector

Angle 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.

Symbol: ∠_Sector

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Angle of Circular Sector

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.

Syntax: sqrt(Number)

Other formulas in Circular Sector category

Go Radius of Circle given Area of Sector

r = \sqrt{\frac{2 \cdot A}{∠ Sector}}

Go Inscribed Angle of Circle given Area of Sector

∠ Inscribed = π - \frac{A}{r^{2}}

Go Area of Circle given Area of Sector

A Circle = \frac{2 \cdot π \cdot A}{∠ Sector}

How to Evaluate Diameter of Circle given Area of Sector?

Diameter of Circle given Area of Sector evaluator uses Diameter of Circle = 2*sqrt((2*Area of Circular Sector)/Angle of Circular Sector) to evaluate 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 evaluate Diameter of Circle given Area of Sector using this online evaluator? To use this online evaluator for Diameter of Circle given Area of Sector, enter Area of Circular Sector (A) & Angle of Circular Sector (∠_Sector) and hit the calculate button.

FAQs on Diameter of Circle given Area of Sector

What is the formula to find Diameter of Circle given Area of Sector?

The formula of Diameter of Circle given Area of Sector is expressed as Diameter of Circle = 2*sqrt((2*Area of Circular Sector)/Angle of Circular Sector). Here is an example- 10.15541 = 2*sqrt((2*9)/0.698131700797601).

How to calculate Diameter of Circle given Area of Sector?

With Area of Circular Sector (A) & Angle of Circular Sector (∠_Sector) we can find Diameter of Circle given Area of Sector using the formula - Diameter of Circle = 2*sqrt((2*Area of Circular Sector)/Angle of Circular Sector). This formula also uses Square Root (sqrt) function(s).

Can the Diameter of Circle given Area of Sector be negative?

No, the Diameter of Circle given Area of Sector, measured in Length cannot be negative.

Which unit is used to measure Diameter of Circle given Area of Sector?

Diameter of Circle given Area of Sector is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of Circle given Area of Sector can be measured.

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