Question

A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the cross-section, leaving the answer in terms of π.

Answer 1

The area would be 25π inches.

Since the cross-section goes through the center of the sphere it will be a circle.  The area of a circle is given by A = πr²; for our circle, since the diameter is 10 inches, the radius is 5; 

A = π(5²) = 25π