Question

Find the area of a circle with a circumference of \blueD{50.24}50.24start color #11accd, 50, point, 24, end color #11accd units.

Answer 1

Answer:

$201 cm^2$

Step-by-step explanation:

The circumference of a circle is given by:

$c=2\pi r$

where

r is the radius of the circle

For the circle in this problem,

c = 50.24 cm

Therefore the radius is:

$r=\frac{c}{2\pi}=\frac{50.24}{2\pi}=8 cm$

The area of a circle is given by the formula

$A=\pi r^2$

where r is the radius.

For the circle in this problem,

r = 8 cm

So the area is

$A=\pi \cdot 8^2 = 201 cm^2$