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

User Othyn
by
7.1k points

2 Answers

9 votes

Answer:

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

User Neowenshun
by
7.5k points
2 votes

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

User Ajmal Kunnummal
by
6.5k points