Question

What is the best approximation for the perimeter of a semicircle with a diameter of 35 inches?

Use 3.14 to approximate pi.

Answer 1

54.95 inches.

Explanation:

Perimeter of a circle = 2πr

So, perimeter of a semicircle = πr/2 = πr

where π = 3.14 and r is the radius of semicircle.

Given that,

diameter of semicircle = 35 inches

radius of semicircle will be half of its diameter = 35/2 = 17.5 inches

Solution

Perimeter of a semicircle = πr

= 3.14 (17.5)

= 54.95 inches

So, the best approximation for the perimeter of a semicircle with a diameter of 35 inches is 54.95 inches.

Answer 2

89.95 inches.

Explanation:

We are asked to find the best approximation for the perimeter of a semicircle whose diameter is 35 inches.

`\text{Perimeter of semicircle}=(1)/(2)\pi* D+D`, where D represents diameter of semicircle.

Upon substituting D=35 and
`\pi=3.14` in above formula we will get,

`\text{Perimeter of semicircle}=(1)/(2)* 3.14* 35+35`

`\text{Perimeter of semicircle}=3.14* 17.5+35`

`\text{Perimeter of semicircle}=54.95+35`

`\text{Perimeter of semicircle}=89.95`

Therefore, perimeter of our given semicircle is 89.95 inches.