What angle is made by hour hand in 50 minutes ?

Options

A. `40^(@)`
B. `20^(@)`
C. `25^(@)`
D. `15^(@)`

Answer

To find the angle made by the hour hand in 50 minutes, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Clock Movement**: The hour hand of a clock completes one full revolution (360 degrees) in 12 hours.

2. **Calculate the Angle per Hour**: Since there are 360 degrees in a full revolution and 12 hours in that revolution, we can find the angle covered by the hour hand in one hour:
\[ \text{Angle per hour} = \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees} \]

3. **Calculate the Angle per Minute**: Since there are 60 minutes in an hour, we can find the angle covered by the hour hand in one minute:
\[ \text{Angle per minute} = \frac{30 \text{ degrees}}{60 \text{ minutes}} = 0.5 \text{ degrees} \]

4. **Calculate the Angle in 50 Minutes**: Now, to find the angle made by the hour hand in 50 minutes, we multiply the angle covered in one minute by the number of minutes:
\[ \text{Angle in 50 minutes} = 0.5 \text{ degrees/minute} \times 50 \text{ minutes} = 25 \text{ degrees} \]

5. **Final Answer**: Therefore, the angle made by the hour hand in 50 minutes is 25 degrees.