Question

The circumference of a circular tabletop is 72ππ inches. What is the area, in square inches, of the tabletop?

Answer 1

1] The circumference=72π, thus the radius will be found as follows:
C=2πr
therefore radius r will be:
2πr=72ππ
r=(72ππ)/(2π)
r=36
hence:
Area=πr²=π(36)²=1296π

2] Circumference= 32ππ, the radius will be:
C=2πr
2πr=32π
r=(32π)/2π
r=16

3] Radius of circle P is 24 cm, radius of circle Q is 8 cm:
Area of circle P is:
A=πr²=π×24²=576π
Area of circle Q is:
A=πr^2=π×8²=64π
therefore comparing the two areas:
(576π)/(64π)=9
Therefore we conclude that:
The area of circle P is 9 times the area of circle Q

4] Is incomplete

5] Circumference is 32π, the diameter will be:
C=πd
where d is the diameter, thus:
32π=πd
d=32
the answer is diameter is 32