Answer:
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