Question

The circumference of a circle is 23pi m. What is the area, in square meters? Express

your answer in terms of pi .

Answer 1

The area of the circle is 529/4 πm²

The formula for calculating the area of a circle is expressed as;

Area = πr²

Also, the formula for calculating the circumference of a circle is expressed as;

Circumference, C = 2πr

Now, substitute the values, we get;

2πr = 23π

Divide the values, we have;

r = 23/2m

Substitute the value

Area = π (23/2)²

Area = 529/4 πm²

Answer 2

Explanation:

d and r are the diameter and radius, respectively.

circumference = πd = 23π

d = 23 meters

r = 23/2 meters

Area = πr² = 133.25π square meters