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Radius of Circle given Area Formula

GoRadius of Circle given Circumference Formula

GoRadius of Circle given Diameter Formula

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Radius of Circle is the length of any line segment joining the center and any point on the Circle. Check FAQs

r = \sqrt{\frac{A}{π}}

r - Radius of Circle?A - Area of Circle?π - Archimedes' constant?

Radius of Circle given Area Example

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

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

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

5.0463 = \sqrt{\frac{80}{3.1416}}

5.0463m = \sqrt{\frac{80m²}{3.1416}}

5.0463 = \sqrt{\frac{80}{3.1416}}

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Radius of Circle given Area Solution

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

FIRST Step Consider the formula

r = \sqrt{\frac{A}{π}}

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{80m²}{π}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{80m²}{3.1416}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{80}{3.1416}}

Next Step Evaluate

∴

r = 5.04626504404032m

LAST Step Rounding Answer

∴

r = 5.0463m

Radius of Circle given Area Formula Elements

Variables

Constants

Functions

Radius of Circle

Radius of Circle is the length of any line segment joining the center and any point on the Circle.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circle

Area of Circle

Area of Circle is the amount of two-dimensional space taken up by a Circle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Circle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 to find Radius of Circle

Go Radius of Circle given Circumference

r = \frac{C}{2 \cdot π}

Go Radius of Circle given Diameter

r = \frac{D}{2}

Go Radius of Circle given Arc Length

r = \frac{l Arc}{∠ Central}

How to Evaluate Radius of Circle given Area?

Radius of Circle given Area evaluator uses Radius of Circle = sqrt(Area of Circle/pi) to evaluate the Radius of Circle, Radius of Circle given Area formula is defined as the length of any line from the center to any point on the Circle and calculated using the area of the Circle. Radius of Circle is denoted by r symbol.

How to evaluate Radius of Circle given Area using this online evaluator? To use this online evaluator for Radius of Circle given Area, enter Area of Circle (A) and hit the calculate button.

FAQs on Radius of Circle given Area

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

The formula of Radius of Circle given Area is expressed as Radius of Circle = sqrt(Area of Circle/pi). Here is an example- 5.046265 = sqrt(80/pi).

How to calculate Radius of Circle given Area?

With Area of Circle (A) we can find Radius of Circle given Area using the formula - Radius of Circle = sqrt(Area of Circle/pi). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Circle?

Here are the different ways to Calculate Radius of Circle-

Radius of Circle=(Circumference of Circle)/(2*pi)
Radius of Circle=Diameter of Circle/2
Radius of Circle=Arc Length of Circle/Central Angle of Circle

Can the Radius of Circle given Area be negative?

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

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

Radius of Circle given Area 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 can be measured.

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