Find the surface area of a sphere with a radius of 10 meters. Leave your answer in terms of pi.

1 answer

The formula for the surface area \( A \) of a sphere is given by:

\[ A = 4\pi r^2 \]

where \( r \) is the radius of the sphere. In this case, the radius \( r \) is 10 meters. Plugging in the value of \( r \):

\[ A = 4\pi (10)^2 \]

Calculating \( (10)^2 \):

\[ (10)^2 = 100 \]

Now substituting this back into the formula:

\[ A = 4\pi \cdot 100 \]

\[ A = 400\pi \]

Thus, the surface area of the sphere is

\[ \boxed{400\pi} \text{ square meters.} \]