Question

If the circumference of a circle measures

3
4
π cm, what is the area of the circle in terms of π?

Answer 1

Therefore the area of the circle is =
`289\pi`
`cm^2`

Explanation:

Given that the circumference of a circle measures
`34 \pi` cm

Let the radius of the circle be = r

Then circumference =
`2 \pi r` cm

According to problem

`2 \pi r` =
`34 \pi`

⇔
`r = \frac {34}{2}`

⇔
`r = 17` cm

Therefore the area of the circle is =
`\pi r^2`

=
`\pi 17^2`
`cm^2`

=
`289\pi`
`cm^2`