Question

The circumference of a circle is 23π m. What is the area, in square meters? Express your answer in terms of \piπ

Answer 1

Answer:

Area of the circle =   $\frac{529}{4}$  π  m²    or      132.25 π  m²

Step-by-step explanation:

To find the area, we will follow the steps below.

First write down the formular for the circumference of a circle, then use the formula to find the radius of the circle after which you can now find the area of the circle.

That is;

C = 2πr

where c is the circumference of the circle and   r is the radius of the circle

From the question given, circumference C = 23π

23π = 2π r

Divide both-side of the equation by 2π

23π/2π  =  2πr/2π

23/2   =  r

radius =   $\frac{23}{2}$  m

Formula for calculating the area of a circle is given by;

A = πr²

where A= area of the circle   and   r is the radius of the circle

A = π ( $\frac{23}{2}$ )²

A = $\frac{529}{4}$  π  m²    or      132.25 π  m²

Area of the circle =   $\frac{529}{4}$  π  m²    or      132.25 π  m²