1 rotation = 360° = 2π radians
at 7:00 the minute hand is on the 12 (straight up) and the hour hand has moved 7/12 of a rotation
(7/12)(2π)
= 7π/6 radians ---> or 210°
so the smaller angle between the two hands
= 2π - 7π/6
= 5π/6 radians ------> 150°
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?
how is it calculated?*
2 answers
bless u