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Radius of Circle given Area of Sector Formula

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Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed. Check FAQs

r = \sqrt{\frac{2 \cdot A}{∠ Sector}}

r - Radius of Circular Sector?A - Area of Circular Sector?∠_Sector - Angle of Circular Sector?

Radius of Circle given Area of Sector Example

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

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

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

5.0777 = \sqrt{\frac{2 \cdot 9}{40}}

5.0777m = \sqrt{\frac{2 \cdot 9m²}{40°}}

5.0777 = \sqrt{\frac{2 \cdot 9}{40}}

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Radius of Circle given Area of Sector Solution

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

FIRST Step Consider the formula

r = \sqrt{\frac{2 \cdot A}{∠ Sector}}

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{2 \cdot 9m²}{40°}}

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r = 5.07770625193028m

LAST Step Rounding Answer

∴

r = 5.0777m

Radius of Circle given Area of Sector Formula Elements

Variables

Functions

Radius of Circular Sector

Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Sector

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 Diameter of Circle given Area of Sector

D = 2 \cdot \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 Radius of Circle given Area of Sector?

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

FAQs on Radius of Circle given Area of Sector

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

The formula of Radius of Circle given Area of Sector is expressed as Radius of Circular Sector = sqrt((2*Area of Circular Sector)/Angle of Circular Sector). Here is an example- 5.077706 = sqrt((2*9)/0.698131700797601).

How to calculate Radius of Circle given Area of Sector?

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

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

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

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

Radius 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 Radius of Circle given Area of Sector can be measured.

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