145,123 views
14 votes
14 votes
The perimeter of the square is 64 inches. What is the perimeter of the shaded region?

The perimeter of the square is 64 inches. What is the perimeter of the shaded region-example-1
User Vincent Osinga
by
2.2k points

1 Answer

28 votes
28 votes

Answer:

54.94 inches

Explanation:

First you need to find the radius of the semi-circles within the square.

You find this by dividing the perimeter by 8

64/8 = 8

now use the formula πr^2 to find the area of the semi circle

π8^2 = 201.06

Now find the total area of the square and subtract it from the area of the two semi circles to find the shaded region

16*16 = 256

256-201.06 = 54.94

User Carlos Carrasco
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.