## A homeowner wants to include a semicircular patio at the end of a square sandbox. She knows that the area of the semicircular patio is 25.12

Question

A homeowner wants to include a semicircular patio at the end of a square sandbox. She knows that the area of the semicircular patio is 25.12 cm. What is the length of the side of the square?

in progress
0

Mathematics
2 weeks
2021-07-21T22:34:01+00:00
2021-07-21T22:34:01+00:00 1 Answers
1 views
0
## Answers ( )

Answer:8cm

Step-by-step explanation:First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square

Area of a semi circle = πr²/2

25.12 = πr²

25.12 = 3.14r²/2

r² = 25.12(2)/3.14

r² = 16

r = √16

r = 4

Get the diameter

d = 2r

d =2(4)

d = 8cm

Hence the length of the side of the square is 8cm