Question

A circle has an area of 75 square centimeters. Which answer is closest to the measure of its radius?

Answer 1

4.9 for short

Explanation:

Answer 2

The formula of the area of a circle is
A =
`\pi`r²

75 cm² =
`\pi` r²
Divide by
`\pi` on either sides to isolate r


`(75)/( \pi )` =
`( \pi r^2)/( \pi )`

`\pi` and
`\pi` cancels out

23.89 = r²
Take square roots to cancel power of two

`√(23.89)` =
`√(r^2)`
4.89 cm ≈ r
I dont know if the question had any options, but this is how we do it.