Answer:
[tex]201 cm^2[/tex]
Step-by-step explanation:
The circumference of a circle is given by:
[tex]c=2\pi r[/tex]
where
r is the radius of the circle
For the circle in this problem,
c = 50.24 cm
Therefore the radius is:
[tex]r=\frac{c}{2\pi}=\frac{50.24}{2\pi}=8 cm[/tex]
The area of a circle is given by the formula
[tex]A=\pi r^2[/tex]
where r is the radius.
For the circle in this problem,
r = 8 cm
So the area is
[tex]A=\pi \cdot 8^2 = 201 cm^2[/tex]
The area of the circle is 201 cm square.
Since we know that
Circumference of the circle = [tex]2\pi r[/tex]
So here radius should be
[tex]= c\div 2\pi \\\\= 50.24\div 2\pi[/tex]
= 8 cm
Now the area of the circle is
[tex]= \pi r^2\\\\= 3.14\times 8^2[/tex]
= 201
Hence, we can conclude that The area of the circle is 201 cm square.
Learn more about circle here: https://brainly.com/question/2031248
