Question

A circle with a radius of 3cm sits inside a 8cm*7cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.

Answer 1

27.73 cm squared

Explanation:

The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:

A = πr²

A = π * 3² = 9π ≈ 28.27 cm squared

Now subtract 28.27 from 56:

56 - 28.27 = 27.73

The answer is thus 27.73 cm squared.

Answer 2

27.73 cm squared

Explanation:

In order to find the shaded region, we need to find the areas of the circle and the rectangle and then subtract the circle area from the rectangle area.

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width. Here, the length is l = 7 and the width is w = 8. Plug these in:

A = lw

A = 7 * 8 = 56 cm squared

The area of a circle is denoted by: A = πr², where r is the radius. Here, the radius is r = 3, so plug this in:

A = πr²

A = π * 3² = 9π ≈ 28.27 cm squared

Now subtract 28.27 from 56:

56 - 28.27 = 27.73

The answer is thus 27.73 cm squared.