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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?

Respuesta :

By definition of [tex]\pi[/tex], we have

[tex]\pi=\dfrac{C}{d}[/tex]

and we deduce

[tex]d = \dfrac{C}{\pi}[/tex]

Now, recall that the diameter is twice the radius:

[tex]2r=\dfrac{C}{\pi}[/tex]

and solve for [tex]r[/tex]:

[tex]r=\dfrac{C}{2\pi}[/tex]

So, divide the circumference by [tex]2\pi[/tex] and you'll find the radius.

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