Question

Determine the shaded area. The radius of the circle is 9 inches. The length of the rectangle is 21 inches

Answer 1

The area of shaded region is 123.66
`in^2`.

Explanation:

Given:

Below is the figure shown in which a circle with radius 9 inches is placed in a rectangle with length is 21 inches and we need to find the area of shaded region or leftover region.

Now we will first find the area of circle whose radius r = 9 inches.

Hence, Area of circle =
`\pi r^2= 3.14* 9 *9= 254.34\ in^2`

Now we will find Area of rectangle whose length is 21 inches and width will be equal to diameter of the circle.

diameter of circle = 2
`*` radius =
`2* 9= 18 \ in`

hence width of rectangle = diameter of circle = 18 in.

Area of rectangle = length
`*` width =
`21 * 18 =378 \ in^2`

Area of Shaded region = Area of rectangle - Area of circle =
`378 \ in^2 - 254.34\ in^2 = 123.66 \ in^2`