The area of the (ring) - the shaded region is 75.36 in²
Solution:
The value of π = 3.14
Radius of the inner circle = 5 in
Area of the inner circle = πr²
= π × 5²
Area of the inner circle = 25π
Radius of the outer circle = (5 + 2) = 7 in
Area of the outer circle = πr²
= π × 7²
Area of the outer circle = 49π
Area of the shaded ring = Area of the outer circle – Area of the inner circle
= 49π – 25π
= 24π
= 24 × 3.14
= 75.36 in²
The area of the (ring) - the shaded region is 75.36 in².