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There below! Can somebody help me please?

There below! Can somebody help me please?-example-1
User Boaz Yaniv
by
4.3k points

2 Answers

6 votes

Answer: C. 24 units

Explanation:

The circumference of a circle is 2πr. Let's say x = 1/3r. Thus, the area of circle A relative to circle B is 1:3. Thus, circle B is 3 times larger than circle A. So, simply divide 64π by 4 to get 16π. Then multiply 16π*3=48π. For the circumference of a circle to be 48, the radius would have to be 24.

Hope it helps <3

User Scott Weldon
by
4.0k points
4 votes

Answer:

The answer is C, 24 units.

Explanation:

Let
r_A be the radius is circle A and
r_B be the radius of circle B.

Radius of circle A is 1/3 of the radius of circle B, or:


r_A=(1)/(3)r_B


3r_A=r_B

The sum of their circumferences is
64\pi. In other words:


2\pi r_A +2\pi r_B = 64\pi

Substitute
r_B:


2\pi(r_A +r_B)=64\pi


2\pi (r_A +3r_A)=64\pi


4r_A=32, r_A=8


r_B=3r_A, r_B=3(8)=24

User Nick Borodulin
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4.2k points