1. ## Clock Angle Question

A grandfather clock shows a time of 7 o’clock. What is the exact radian measure of the angle
between the hour hand and the minute hand?
From 12 to 6 that is pi radians and from 6 to 7 that is pi/3 radians of pi/2 = pi/6. So in total the angle is: 7pi/3 radians? (going clock wise)

2. ## Re: Clock Angle Question

No. What proportion of the circle is swept out between the two hands?

3. ## Re: Clock Angle Question

7/12 of the circle ?

4. ## Re: Clock Angle Question

Yes (or 5/12 in the other angle), so surely it's 7/12 of 2pi...

5. ## Re: Clock Angle Question

oh okay, thank you!!