Question

The figure consists of two quarter circles and a

square. What is the perimeter of this figure?
Use 3.14 for π .
82.24 in.
114.24 in.
132.48 in.
164.48 in.
(A square with sides measuring 16 in and has two quarter circles attached with with the same measurements.)

Answer 1

The perimeter of the figure is
`114.24\ in`

Explanation:

we know that

The perimeter of the figure is equivalent to the perimeter of a square plus the perimeter of a semicircle

step 1

Find the perimeter of square

The perimeter of square is equal to

`P=4b`

where

b is the length side of the square

we have

`b=16\ in`

substitute

`P=4(16)=64\ in`

step 2

Find the circumference of a semicircle

The circumference of a semicircle is equal to

`C=\pi r`

we have

`r=16\ in`

`\pi=3.14`

substitute

`C=3.14(16)=50.24\ in`

step 3

Find the perimeter of the figure

`64\ in+50.24\ in=114.24\ in`