The radius of a circle increases from 2 inches to 3 inches. By how many square inches does its area increase? A) 5 pi B) 2 pi C) Pi D) pi^2

A) 5 pi

Step-by-step explanation:

To get the increase, we must find the area of the circle when the radius was 2 inches and subtract it from the area of the circle when the radius increases to 3 inches. The difference is the increase in the area of the circle.

A circle of radius r has an area A given as

A = Pi r²

Hence when the radius was 2 inches, the area A

= Pi * 2²

= 4 Pi square inches

when the radius increases to 3 inches, the area

= Pi * 3²

= 9 Pi square Inches

The increase in area

= 9 Pi - 4 Pi

= 5 Pi