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Radius of Sphere given Surface Area Formula

GoRadius of Sphere given Surface to Volume Ratio Formula

GoRadius of Sphere given Volume Formula

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Radius of Sphere is the distance from center of the Sphere to any point on the Sphere. Check FAQs

r = \frac{1}{2} \cdot \sqrt{\frac{SA}{π}}

r - Radius of Sphere?SA - Surface Area of Sphere?π - Archimedes' constant?

Radius of Sphere given Surface Area Example

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

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

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

10.1711 = \frac{1}{2} \cdot \sqrt{\frac{1300}{3.1416}}

10.1711m = \frac{1}{2} \cdot \sqrt{\frac{1300m²}{3.1416}}

10.1711 = \frac{1}{2} \cdot \sqrt{\frac{1300}{3.1416}}

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Radius of Sphere given Surface Area Solution

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

FIRST Step Consider the formula

r = \frac{1}{2} \cdot \sqrt{\frac{SA}{π}}

Next Step Substitute values of Variables

∴

r = \frac{1}{2} \cdot \sqrt{\frac{1300m²}{π}}

Next Step Substitute values of Constants

∴

r = \frac{1}{2} \cdot \sqrt{\frac{1300m²}{3.1416}}

Next Step Prepare to Evaluate

∴

r = \frac{1}{2} \cdot \sqrt{\frac{1300}{3.1416}}

Next Step Evaluate

∴

r = 10.1710723628205m

LAST Step Rounding Answer

∴

r = 10.1711m

Radius of Sphere given Surface Area Formula Elements

Variables

Constants

Functions

Radius of Sphere

Radius of Sphere is the distance from center of the Sphere to any point on the Sphere.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Sphere

Surface Area of Sphere

Surface Area of Sphere is the total quantity of two dimensional space enclosed by the spherical surface.

Symbol: SA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Surface Area of Sphere

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 Sphere

Go Radius of Sphere given Surface to Volume Ratio

r = \frac{3}{R A/V}

Go Radius of Sphere given Volume

r = {(\frac{3 \cdot V}{4 \cdot π})}^{\frac{1}{3}}

Go Radius of Sphere given Diameter

r = \frac{D}{2}

Go Radius of Sphere given Circumference

r = \frac{C}{2 \cdot π}

How to Evaluate Radius of Sphere given Surface Area?

Radius of Sphere given Surface Area evaluator uses Radius of Sphere = 1/2*sqrt(Surface Area of Sphere/pi) to evaluate the Radius of Sphere, Radius of Sphere given Surface Area formula is defined as the distance from center of the Sphere to any point on the Sphere, and calculated using the surface area of the Sphere. Radius of Sphere is denoted by r symbol.

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

FAQs on Radius of Sphere given Surface Area

What is the formula to find Radius of Sphere given Surface Area?

The formula of Radius of Sphere given Surface Area is expressed as Radius of Sphere = 1/2*sqrt(Surface Area of Sphere/pi). Here is an example- 10.17107 = 1/2*sqrt(1300/pi).

How to calculate Radius of Sphere given Surface Area?

With Surface Area of Sphere (SA) we can find Radius of Sphere given Surface Area using the formula - Radius of Sphere = 1/2*sqrt(Surface Area of Sphere/pi). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radius of Sphere?

Here are the different ways to Calculate Radius of Sphere-

Radius of Sphere=3/Surface to Volume Ratio of Sphere
Radius of Sphere=((3*Volume of Sphere)/(4*pi))^(1/3)
Radius of Sphere=Diameter of Sphere/2

Can the Radius of Sphere given Surface Area be negative?

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

Which unit is used to measure Radius of Sphere given Surface Area?

Radius of Sphere given Surface 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 Sphere given Surface Area can be measured.

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