How to find the distance between clock hands

Practice Questions

ACT Math › How to find the distance between clock hands

Questions
7
1

Find the distance between the hour and minute hand of a clock at 2:00 with a hand length of .

2

A church commissioned a glassmaker to make a circular stained glass window that was two feet in diameter. What is the area of the stained glass window, to the nearest square foot?

3

Assuming the clock hands extend all the way to the edge of the clock, what is the distance between the clock hands of an analog clock with a radius of 6 inches if the time is 2:30? Reduce any fractions in your answer and leave your answer in terms of

4

An outdoor clock with a face diameter of displays the current time as . Assuming each hand reaches to the edge of the clock face, what is the distance, in feet, of the minor arc between the hour and minute hand? Leave in your answer. Assume a display (not a military clock).

5

An military () clock with a face diameter of displays the current time as . Assuming each hand reaches to the edge of the clock face, what is the distance, in feet, of the minor arc between the hour and minute hand? Leave in your answer.

6

An watch with a face radius of displays the current time as . Assuming each hand reaches to the edge of the clock face, what is the distance, in , of the minor arc between the hour and minute hand? Leave in your answer. Assume a display (not a military clock).

7

What is the measure of the largerangle formed by the hands of a clock at ?

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