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Surface Area of a Sphere

Sphere Surface Area Formula

The formula for surface area of a sphere is given as:

SA = 4πr2

Where SA is the surface area and r is the radius of the sphere.

surface area of a sphere

Example Problems

Problem 1:
Find the surface area of a sphere with a radius of 10.

1.) Plugging what we know into the surface area formula, we get:
SA = 4πr2
SA = 4π(102) = 400π
2.) The surface area is 400π.

Problem 2:
The surface area of a sphere is measured to be 100π square meters. What is the diameter of the sphere in meters?

1.) First, we will plug the surface area value into the formula and solve for the radius r.
SA = 4πr2
100π = 4πr2
25 = r2
r = 5
2.) Now that we have the radius, let’s convert it to diameter.
d = 2r
d = 2(5) = 10
3.) The diameter of the sphere is 10 meters.

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