A custodian carries a large key ring. He measures it and calculates that it has a circumference of 25.12 centimeters. What is the key ring’s

Question

A custodian carries a large key ring. He measures it and calculates that it has a circumference of 25.12 centimeters. What is the key ring’s radius?

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Isabelle 2 weeks 2022-01-08T14:46:37+00:00 1 Answer 0 views 0

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    2022-01-08T14:47:37+00:00

    By definition of \pi, we have

    \pi=\dfrac{C}{d}

    and we deduce

    d = \dfrac{C}{\pi}

    Now, recall that the diameter is twice the radius:

    2r=\dfrac{C}{\pi}

    and solve for r:

    r=\dfrac{C}{2\pi}

    So, divide the circumference by 2\pi and you’ll find the radius.

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