# How to find the radius of a sphere when given the surface area.

We will use the formula of the surface area of a sphere to find the radius of the sphere.

## Answer: r = (A / 4π)^{0.5}

Let us see how we will use the formula of the surface area of a sphere to find the radius of the sphere.

**Explanation:**

The formula to find the surface area of the sphere is given by A = 4π × r^{2}.

Now to find the area from the surface area formula we use the following steps.

Step 1- Transpose 4π on the left-hand side, which makes the equation as A/4π = r^{2}

Step 2- Now taking square roots on both hand sides we get, r = (A / 4π)^{0.5}

### Hence, r = (A / 4π)^{0.5 }is the value of radius if the surface area of a sphere is known.

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