Question

a circle with a radius of 3cm sits inside a 8cm x7cm rectangle. what is the area of the shaded region?

Answer 1

27.73 square centimeters

Explanation:

Assume the shaded region is the area outside the circle but inside the rectangle.

Now, we need to find the area of rectangle and area of circle. Then we will subtract area of circle from area of rectangle to get our desired answer.

Area of Rectangle = length * width

Area of Rectangle = 8 * 7 = 56

Area of circle is given by the formula:

Area =
`\pi r^2`

Where r is the radius, which is 3

So,

Area of Circle =
`\pi r^2 = \pi (3)^2 = 9\pi=28.27`

Thus, area of the shaded region is:

Area of Shaded Region = 56 - 28.27 = 27.73 square centimeters