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:

132.25π  m²

Step-by-step explanation:

The circumference of a circle is 23π

On the other hand, The circumference of a circle = 2×π×r ; where r is the radius.

then

by equating the last two expressions we get: 23π = 2πr then r = 23/2

then

the area = π × r² = (23/2)²×π = (132.25)×π

Answer 2

Answer:

$132.25\pi$ square meters

Step-by-step explanation:

The first step is to find the radius of the circle. The diameter of the circle is just the circumference divided by pi, so the diameter is 23. The radius is half of the diameter, or 23/2=11.5. Now, plugging this into the formula for the area of a circle, you get $\pi \cdot 11.5^2=132.25\pi$ square meters. Hope this helps!