Question

The diameter of a semicircular pond is 7 m. Find its perimeter.

Answer 1

Approximately 18 m

Step-by-step explanation:

Hi there!

What we need to do to solve this question is the following:

1. Find the circumference of the circle, as if the pond is CIRCULAR and NOT SEMICIRCULAR

2. Divide the circumference in half to find the length of the round part of the semicircle

3. Add 7 m to that value to get the straight side of the semicircle

1. Find the circumference of the circle (C)

`C=\pi d` where d is the diameter

Plug in the diameter 7 m

`C=\pi (7)\\\\C=7\pi`

We're not going to solve this just yet, but we will in the end. This is so that we can get a more precise answer.

2. Halve the circumference

`\displaystyle(7\pi)/(2)`

3. Add 7 m

`\displaystyle(7\pi)/(2) + 7\\\\= 17.99557\\\\\approx 18`

Therefore, the perimeter of the pond is approximately 18 m.

I hope this helps!