Question

Two semicircles are placed in a rectangle, as shown below. The length of the rectangle is 48. And do not round your answer. Be sure to include the correct unit in your answer.Find the area of the shaded region. Use the value 3.14 for , a

Answer 1

Answer and Step-by-step explanation:

Firstly, we should note that the rectangle given is a square. This is because, the diameter of the semicircle is the same horizontally and vertically

Since the length of the rectangle is 48, it means the radius of each semi circle is 24.

The area of one semicircle will be:

0.5πr²

Where r = 24 and π = 3.14

0.5 x 3.14 x 24 = 37.68 square units

Since we have two semicircles, then the area of both will be:

37.68 x 2 = 75.36 square units.

To find the area shaded portion. Since I cannot see the diagram, there are two possibilities. If the shaded potion is just the two semicircles, then the area is 75.36 square units. But if the shaded portion is what ever remains after taking out the semicircles, then the area would be:

48² – 75.36 = 2133.64 square units.