Question

Please help me with this question.

Answer 1

The first thing you would do is find the area of the rectangle.

To find the area of a rectangle you would use length x width

So it already gives you the length which is 21, now you can find the width by looking inside at the radius of the circle (8). That would be half of the width. Which means we would multiply 8 by 2.

8 x 2 = 16 so the width is 16. Now the only thing left to do is to multiply the width times the height.

16 x 21 = 336

The area of the rectangle is 336.

Next we need to find the area of the circle.

To find the area of a circle you would do Pi x r^2

The radius is 8. 8^2 = 64 then multiply that by Pi (3.14)

64 x 3.14 = 200.96

We have the area of the rectangle and the circle. The only thing left is to subtract the area of the circle from the area of the rectangle.

336 - 200.96 = 135.04

The answer would be 1. 135 in^2

Answer 2

To find the area of the shaded region, we can find the area of the rectangle, and subtract the area of the circle (the non shaded part of the rectangle).

Area of Rectangle:
A= 21in x 16in = 336in^2

Area of Circle:
A = pi * r^2
A = 3.14 * (8in)^2
A = 3.14 * 64in^2
A = 201in^2

Subtracting the non shaded region from the area of the rectangle:
336in^2 - 201in^2 = 135in^2

Therefore, the answer is 1. 135in^2