Christine measures a subway token and calculates that it has a circumference of 60.916 millimeters. What is the token's diameter?
Question
Christine measures a subway token and calculates that it has a circumference of 60.916 millimeters. What is the token's diameter?
Solution
To find the diameter of the subway token, we need to use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter.
Given that the circumference C is 60.916 millimeters, we can rearrange the formula to solve for the diameter:
d = C / π
Substituting the given value for C:
d = 60.916 mm / π
Using the approximation of 3.14159 for π:
d = 60.916 mm / 3.14159
This gives us a diameter of approximately 19.4 millimeters.
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