Question

The area of the circle above is 1,808.64 units. What is the circumference of the circle? Use = 3.14.

A. 150.72 units
B. 75.36 units
C. 602.88 units
D. 904.32 units

Answer 1

To solve for this, we need to understand the formula for the area of a circle, and the formula for the circumference of a circle.
Area =
`\pi x^(2)`
Circumference = 2R
`\pi`

Since we have the area, 1,808.64 units, we need to divide by 3.14 (
`\pi`) first so we can square root (as we are doing the opposite of the formula) the quotient.

1,808.64 / 3.14 = 576

Square root 576.

`√(576)` = 24
24 is our radius.

Now that we've broken it down, let's look for the circumference.

Remember, our formula for the circumference is 2R
`\pi`.

2 x 24 x 3.14
48 x 3.14
150.72 is your circumference.

Your answer is A.) 150.72 units.

I hope this helps!