Question

Find the angle between the hour hand and the minute hand of a clock when the time is 3:25.

• A. ${45}^{\circ }$
• B. $37{\frac{1}{2}}^{\circ }$
• C. $47{\frac{1}{2}}^{\circ }$
• D. ${46}^{\circ }$

Answer 1

The correct option is C $47{\frac{1}{2}}^{\circ }$

Angle traced by the hour hand in 12 hours=${360}^{\circ }$
Angle traced by it in 3 hrs 25 min.i.e.$\frac{41}{12}$ hrs
=$={(\frac{360}{12}\times \frac{41}{12})}^{\circ }=102{\frac{1}{2}}^{\circ }$
Angle traced by it in 25 min. = ${(\frac{360}{60}\times 25)}^{\circ }={150}^{\circ }$
Required angle = $({150}^{\circ }\times 102{\frac{1}{2}}^{\circ })=47{\frac{1}{2}}^{\circ }$