Area of the shaded region is 2868.61 square inches.
Solution:
Diameter of the smaller circle = 20.4 in
Radius of the smaller circle = 20.4 ÷ 2 = 10.2 in
Area of the smaller circle = πr²
= 3.14 × (10.2)²
Area of the smaller circle = 326.6856 in²
Radius of the larger circle = (10.2 + 21.7) in = 31.9 in
Area of the larger circle = πR²
=3.14 × (31.9)²
Area of the larger circle = 3195.2954 in²
Area of shaded region = Area of larger circle – Area of smaller circle
= 3195. 2954 in² – 326.6856 in²
= 2868.6098 in²
= 2868.61 in²
Area of the shaded region is 2868.61 square inches.
