Question

Find the area of the shaded region. OH=12.3 inches and OT=16.7 inches

Answer 1

The area of the dark region is found by determining the area of the larger circle and that of the smaller, and then subtracting the area of the larger from the area of the smaller.

This works out to π(16.7 in)^2 - π(12.3 in)^2, or

π(278.89 in^2 - 151.29 in^2) = 127.6π in^2 (answer)

Answer 2

D.
`400.7\text{ in}^2`

Explanation:

We have been given an image of two concentric circles. We are asked to find the area of shaded region.

The area of shaded region would be area of bigger circle minus area of smaller circle.

`\text{Area of shaded region}=\pi\cdot 16.7^2-\pi\cdot 12.3^2`

`\text{Area of shaded region}=\pi\cdot 278.89-\pi\cdot 151.29`

`\text{Area of shaded region}=127.6\pi`

`\text{Area of shaded region}=127.6*3.14`

`\text{Area of shaded region}=400.664`

`\text{Area of shaded region}\approx 400.7`

Therefore, the area of shaded region is 400.7 square inches and option D is the correct choice.