Question

HELP!!!!

This figure consists of a rectangle, a semicircle, and a quarter circle. What is the perimeter of this figure?

Use 3.14 for π . 22.55 m 27.55 m 29.70 m 37.55 m

Answer 1

Hey There Answer 37.55

Explanation:

Answer 2

`37.55\ m`

Explanation:

we know that

The perimeter of the figure is equal to the perimeter of semicircle plus the perimeter of quarter circle plus two times the length of
`2\ m` plus two times the length of
`5\ m`

Find the perimeter of semicircle

we know that

The circumference of a semicircle is equal to

`C=(1)/(2)\pi D`

we have

`D=10\ m`

substitute

`C=(1)/(2)\pi(10)=5 \pi\ m`

Find the perimeter of a quarter of circle

we know that

The circumference of a quarter of circle is equal to

`C=(1)/(4)\pi D`

we have

`D=10\ m`

substitute

`C=(1)/(4)\pi(10)=2.5 \pi\ m`

Find the perimeter of the figure

`5 \pi\ m+2.5 \pi\ m+2*2\ m+2*5\ m=7.5 \pi\ m+14\ m`

`7.5 \pi+14=37.55\ m`