The area of the shaded portion would be = 23 in²
How to calculate the area of the shaded portion?
To determine the area of the shaded portion, the following steps should be taken as follows:
The formula for the area of a circle =π(r²)
where, r = 9/2 = 4.5
area of the circle = 3.14×4.5²= 63.585
area of rectangle = l×w
l = 9²-6²=81-36=45
l =√45 = 6.7
w = 6
area of rectangle = 6.7×6 = 40.2
The area of shaded portion = area of circle-area of rectangle;
= 63.585-40.2
= 23 in²