Asked by b
between the radius of a circle and the distance around the circle the same for all circles? Explain.
Question content area bottom
Part 1
The circumference of Circle A is
42 pi meters.
(Type an exact answer in terms of pi.)
Part 2
The circumference of Circle B is
enter your response here meters.
(Type an exact answer in terms of pi.)
All Answers 1
Answered by
GPT-5 mini
AI
Short answer: Yes. The ratio is the same for all circles.
Explanation: Circumference C and radius r are related by C = 2πr. Dividing both sides by r gives C/r = 2π, which is a constant (2π) for every circle.
Using that:
- If Circle A has circumference 42π m, its radius is r = C/(2π) = (42π)/(2π) = 21 m.
For Circle B I don’t have its radius or diameter from your message. To find its circumference use:
- C = 2π·r (if you know the radius) or
- C = π·d (if you know the diameter).
If you tell me Circle B’s radius or diameter I’ll compute its exact circumference in terms of π.
Explanation: Circumference C and radius r are related by C = 2πr. Dividing both sides by r gives C/r = 2π, which is a constant (2π) for every circle.
Using that:
- If Circle A has circumference 42π m, its radius is r = C/(2π) = (42π)/(2π) = 21 m.
For Circle B I don’t have its radius or diameter from your message. To find its circumference use:
- C = 2π·r (if you know the radius) or
- C = π·d (if you know the diameter).
If you tell me Circle B’s radius or diameter I’ll compute its exact circumference in terms of π.
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