Consider a clock with an hour hand and a minute hand. What is the measure of the angle the minute hand traces in 37 minutes. Your answer should be in radians.

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  37π/30 radians

Step-by-step explanation:

In 60 minutes, the minute had makes one full circle, or 2π radians. Then its rate of sweep is ...

  (2π radians)/(60 minutes) = π/30 radians per minute

The angle swept in 37 minutes will be ...

  (37 min)(π/30 rad/min) = 37π/30 radians

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.