118k views
2 votes
The circumference of Circle A is 4 times larger than the circumference of Circle B. How many times larger is the diameter of Circle A than the diameter of Circle B?

A. 200%

B. Undeterminable from information given

C. 300%

D. 400%

User Sunny
by
7.9k points

1 Answer

4 votes

Final answer:

The diameter of Circle A is 4 times larger than the diameter of Circle B.

Step-by-step explanation:

To find out how many times larger the diameter of Circle A is compared to Circle B, we need to compare their circumferences. Let's assume the circumference of Circle B is C. According to the problem, the circumference of Circle A is 4 times larger, so the circumference of Circle A would be 4C.

The formula for the circumference of a circle is C = πd, where d represents the diameter. Since the circumference of Circle A is 4C, the formula for Circle A becomes 4C = πdA. Similarly, for Circle B, the formula becomes C = πdB.

To compare the diameters, we can set up a ratio: (dA / dB) = (4C / C). Simplifying the ratio gives us dA / dB = 4.

Therefore, the diameter of Circle A is 4 times larger than the diameter of Circle B.