Question

Circle K has a diameter of 24 inches. Find the exact length of semicircle HJI. In your final answer, include all of your calculations.

Answer 1

12 π inches

Explanation:

1) Since semicircles = 180 degrees, semicircle HJI = 180 degrees.

2) Make a ratio: 180/360. Simplify it: 1/2.

3) Then do: 1/2 x π d --> 1/2 x π 24. You should get: 12 π.

4) So, the exact length of semicircle HJI = 12 π inches.

(The reason you are supposed to leave it 12 π centimeters is because only if the question asks you to find the approximate length of the arc, then you can use 3.14 instead of π. But if the question asks you to find the exact length of the arc, you have to leave it as said above because you would still have to round the answer (if you multiply 12 by pi), which makes it an approximate answer, not an exact answer.)

pi (π) = 3.14159265359......................

Pi is an endless number.

Hope this helps! :)

Answer 2

When you say length, I am assuming you mean the circumference?

First find the circumference:
`c = 2\pi\r`
r = radius = 24/2 = 12
Now plugin 12 for r

`c = 2\pi\r`

`c = 2\pi12`
Now solve

`c = 2\pi12`
Now divide in half

`c = 2\pi12 = 75.398`

`sim-c = (2\pi12)/(2) = 37.6991`
OR

`sim-c = (75.398)/(2) = 37.6991`