Question

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?

Answer 1

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.