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The minute hand of a clock is 4.5 inches long. What distance does the tip move in 45 minutes?

 Dec 19, 2021
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The minute hand of a clock, while moving, creates an arc that is some part of a circle.

Since the minute hand is only moving for 45 minutes, it moves 3/4 of an entire circle.

This circle would have radius of 4.5 inches.
The circumference of a circle is πd, where d is 2r.

We can substitute 2*4.5 for d.

The circumference of a circle with radius of 4.5 is 9π.

Since only 3/4 of the entire circumference is travelled, multiply 9π by 3/4.

(3/4)*9π=27π/4, or ≈21.206

 Dec 19, 2021

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