Question

The circumference of a circle is 15pi centimeters. What is the area of the circle in terms of pi?

Answer 1

56.25
`\pi`

Explanation:

circumference=2
`\pi r`

15
`\pi`=2
`\pi r`

r=7.5

Area=
`\pi r^(2)`

=
`\pi * 7.5^(2)`

= 56.25
`\pi`

Answer 2

Answer:
`56.25\pi`

Explanation:

The circumference of a circle can be found using
`d\pi`, where d is the diameter. In this case, we can clearly see the diameter is 15.

Next, we must find the radius as the formula for the area of a circle is
`\pi r^2`

The radius is half of the diameter.
`(15)/(2) =7.5`

Now sub in this value for the formula of the area of a circle

`\pi r^2\\\\\pi (7.5)^2\\\\56.25\pi`