Question

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

7.5πcm^2
15πcm^2
56.25πcm^2
225πcm^2

Answer 1

the answer is the 3rd choice

Answer 2

Option C or 56.25×πcm^2

Explanation:

The formula to find the circumference of a circle is P=2×π×r.

The formula to find the area of a circle is A=π×r^2.

Step 1: Find the radius by expanding your circumference answer to get the entire formula. In this case 15π=2×π×7.5 Look familiar? You have found the radius!

Step 2: Put the radius in the formula to find the area. Since this answer is not looking for a specific number that's all you have to do. In this case, A=π×7.5^2. Or A=π×56.25.

Step 3: You have the answer. Hope this helps