Question

Use the figures to answer the questions.

1. What is the diameter of circle A ?
2. What is the diameter of circle B ?
3. What is the radius of circle A ?
4. What is the radius of circle B?
5. Are the radius and diameter of the two circles proportional? Explain.
6. The circumference of circle Q is 21 centimeters.
a. Write a proportion to find the circumference of circle P
b. What is the circumference of circle P?

Answer 1

1. 12ft

2. 8ft

3. 6ft

4. 4ft

5. The diameter and radius of the circles are proportional by a factor of 1.5 because 12/8 = 1.5 and if I multiply circle B's radius by a factor of 1.5 I will get the radius of Circle A as is with the diameter.

6.

A- (3/7)(21) = x

B- x approximately equals 9

Explanation:

Circumference formula

C= 2(pi)r

z equals circumference of circle q

Q = 7

P = 3

Z = 21

(P/Q)(Z) = x

Therefore (3/7)(21) = 9

We can prove this by using the Circumference formula

C= 2(pi)r

C=2(pi)1.5

C= 3(pi)

C= 9.4247...

Rounded = 9

hope this helps!!

Answer 2

1) 12ft

2) 8ft

3) 6 ft

4) 3ft

5)