Question

Find the perimeter. The shape consists of a squareand half a circle. Use = 3.14.

Answer 1

Given:

The diameter of the semicircle is d= 2in.

The side of the square is a= 2in.

Required:

We need to find the perimeter of the given shape.

Step-by-step explanation:

Recall that the perimeter of a two-dimensional figure is the distance covered around it.

The perimeter of the given shape is the sum of the length of arc of the semicircle and 3 sides of the square.

`Recall\text{ that the length of the arc of the semicircle is }\pi r.`

The perimeter of the given shape is

`P=\pi r+3a`

Consider the radius formula.

`r=(d)/(2)`

Substitute d =2 in the formula

`r=(1)/(1)=1\text{ in}`
`Substitute\text{ }\pi=3.14,r=1\text{ and a=2 in the formula }P=\pi r+3a.`
`P=3.14(1)+3(2)`
`P=9.14in`

Final answer:

The perimeter of the given shape is 9.14in.