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

36ππ

144ππ

1296ππ

5185ππ
2.
The circumference of a circle is 32ππ. What is the radius of this circle?

8

16

32

64
3.
The radius of circle P is 24 centimeters. The radius of circle Q is 8 centimeters. Which statement correctly compares the area of circle P with the area of circle Q?

The area of circle P is 3 times the area of circle Q.

The area of circle P is 6 times the area of circle Q.

The area of circle P is 9 times the area of circle Q.

The area of circle P is 12 times the area of circle Q.
4.
Use the circle below to answer this question.



Point P is at the center of the circle. What is the length of the circumference of the circle, rounded to the nearest tenth of a centimeter?

14.1 centimeters

28.3 centimeters

63.6 centimeters

127.2 centimeters
5.
The circumference of a circle is 32ππ. What is the diameter of this circle?

8

16

32

64

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Respuesta :

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