Question

what is the radian measure between the arms of watch at 5.00 pm

Answer 1

$\huge{ \underline{ \mathbb{ \pink{Preliminary :}}}}$

The minute hand travels 360°/60 = 6° per minute and the hour hand travels 360°/(60 x 12) = 0.5° per minute

The time reference for such questions is always 12:00 hours when both minute and hour hands point towards 12 and make an angle of 0°.

$\huge{ \underline{ \mathbb{ \pink{Solution :}}}}$

At 5:00, the minute hand would have effectively travelled for 0 minutes covering (0 * 6 = 0°) from reference point.

The Hour hand would have travelled for 5 x 60 = 300 minutes. It covers an angle of 300 x 0.5 = 150°

The angle between the two hands nowis 150°-0° = 150°