Sphere Radius Calculator

Unleash the power of geometry! Calculate the radius of a sphere effortlessly from its surface area.

Surface Area Input

Enter the surface area of the sphere to calculate its radius.

units²

Radius Output

Formula

The surface area of a sphere is given by the formula:

$$A = 4 \pi r^2$$

To find the radius (r) when the surface area (A) is known, we rearrange the formula:

$$r = \sqrt{\frac{A}{4 \pi}}$$

Understanding Sphere Radius Calculation

A sphere is a perfectly round geometrical object in three-dimensional space, like a ball. The 'radius' of a sphere is the distance from the center of the sphere to any point on its surface. The 'surface area' is the total area that the surface of the sphere covers.

This tool helps you calculate the radius of a sphere if you know its surface area. Simply input the surface area, and with a click, you'll get the radius. This is useful in various fields, from mathematics and physics to engineering and design, where understanding spherical dimensions is crucial.

The formula used, \( r = \sqrt{\frac{A}{4 \pi}} \), is derived from the basic surface area formula of a sphere, \( A = 4 \pi r^2 \). By rearranging this, we can solve for 'r' when 'A' is known.