Question

What is the radian measure between the arms of watch at 5:00 pm?
A. 1 radian
B. 2 radian
C. 3 radian
D. 4 radian​

Answer 1

$\huge{\dag} \: {\underline{\boxed{\sf{\purple{ Answer }}}}}$

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

ㅤㅤㅤㅤㅤㅤㅤOR

I will take it that the minute hand will face 0°(12 or straight up). then the hour hand facing the number 5 will be 2/12th th way around the clock face. One full rotation is 360° or 2π radians. Since the hour hand is 5/12 of a rotation relative to the minute hand it must be 5/12 x 2π radians or 5/6π radians