Question

The circumference of a circle is 15 in. What is the area, in square inches? Express

your answer in terms of pie

Answer 1

• The area is 225/(4π) in²

Explanation:

Area of circle equation:

• A = πr²

Circumference of circle equation:

• C = 2πr

Given

• C = 15 in

To Find

• Area of circle

Solution

Use circumference equation to find the radius:

• 2πr = 15
• r = 15/(2π)

Find the area:

• A = π*[15/(2π)]² = 225/(4π)