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Diameter of Sphere given Surface Area Formula

GoDiameter of Sphere Formula

GoDiameter of Sphere given Surface to Volume Ratio Formula

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Diameter of Sphere is the distance from one point to other point on the Sphere which is collinear with the center of the Sphere. Check FAQs

D = \sqrt{\frac{SA}{π}}

D - Diameter of Sphere?SA - Surface Area of Sphere?π - Archimedes' constant?

Diameter of Sphere given Surface Area Example

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

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

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

20.3421 = \sqrt{\frac{1300}{3.1416}}

20.3421m = \sqrt{\frac{1300m²}{3.1416}}

20.3421 = \sqrt{\frac{1300}{3.1416}}

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Diameter of Sphere given Surface Area Solution

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

FIRST Step Consider the formula

D = \sqrt{\frac{SA}{π}}

Next Step Substitute values of Variables

∴

D = \sqrt{\frac{1300m²}{π}}

Next Step Substitute values of Constants

∴

D = \sqrt{\frac{1300m²}{3.1416}}

Next Step Prepare to Evaluate

∴

D = \sqrt{\frac{1300}{3.1416}}

Next Step Evaluate

∴

D = 20.3421447256411m

LAST Step Rounding Answer

∴

D = 20.3421m

Diameter of Sphere given Surface Area Formula Elements

Variables

Constants

Functions

Diameter of Sphere

Diameter of Sphere is the distance from one point to other point on the Sphere which is collinear with the center of the Sphere.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter 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 Diameter of Sphere

Go Diameter of Sphere

D = 2 \cdot r

Go Diameter of Sphere given Surface to Volume Ratio

D = \frac{6}{R A/V}

Go Diameter of Sphere given Volume

D = 2 \cdot {(\frac{3 \cdot V}{4 \cdot π})}^{\frac{1}{3}}

Go Diameter of Sphere given Circumference

D = \frac{C}{π}

How to Evaluate Diameter of Sphere given Surface Area?

Diameter of Sphere given Surface Area evaluator uses Diameter of Sphere = sqrt(Surface Area of Sphere/pi) to evaluate the Diameter of Sphere, Diameter of Sphere given Surface Area formula is defined as the distance from one point to other point on the Sphere which is collinear with the center of the Sphere, and calculated using the surface area of the Sphere. Diameter of Sphere is denoted by D symbol.

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

FAQs on Diameter of Sphere given Surface Area

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

The formula of Diameter of Sphere given Surface Area is expressed as Diameter of Sphere = sqrt(Surface Area of Sphere/pi). Here is an example- 20.34214 = sqrt(1300/pi).

How to calculate Diameter of Sphere given Surface Area?

With Surface Area of Sphere (SA) we can find Diameter of Sphere given Surface Area using the formula - Diameter of Sphere = 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 Diameter of Sphere?

Here are the different ways to Calculate Diameter of Sphere-

Diameter of Sphere=2*Radius of Sphere
Diameter of Sphere=6/Surface to Volume Ratio of Sphere
Diameter of Sphere=2*((3*Volume of Sphere)/(4*pi))^(1/3)

Can the Diameter of Sphere given Surface Area be negative?

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

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

Diameter 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 Diameter of Sphere given Surface Area can be measured.

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