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What is the radian measure of the smaller angle made by clock hands at 4:30. Express answer in terms of Pi.
 
Bahabeach said:
What is the radian measure of the smaller angle made by clock hands at 4:30. Express answer in terms of Pi.
There are various ways to approach this. One would be to divide the circle into twelve parts, according to the numbered positions on the clock face, each part having a central angle of (2pi)/12 = (pi)/6.

At what position is the minute hand? Using "twelve noon" as "zero pi", what is the position of the minute hand in terms of pi?

At what position of the hour hand? (Note: The hour hand is between the "4" and the "5"!) Express this position in terms of radians as measured from "twelve noon".

What is the difference between these two positions?

Eliz.
 
Thanks for help

I think I understand your explanation. I appreciate your help.
 
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