True or False: The area of a circle of radius 14 units is equal to the surface area of a sphere of radius 7 units?

1 Answer
Jun 19, 2018

Yes, the statement is true.

Explanation:

The area of the circle = #pi r_1^2#
The area of a sphere = #4 pi r_2^2#
#r_1=14# gives the circle: #pi 14^2= pi*4*7^2=4 pi 7^2#
#r_2=7# gives the area of the sphere: #4 pi 7^2#

As the two expressions are equal, the statement is true.