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What is the angle (in degrees) between the minute hand and the hour hand of a clock when the time is 22 minutes past 5 o'clock?

What is the angle (in degrees) between the minute hand and the hour hand of a clock when the time is 22 minutes past 5 o'clock? Correct Answer 29

Given:

Time = 22 minutes past 5 0' clock

Concept:

Angle made by hour hand in one hour = 360/12, as hour hand covers 12 hours at one round

⇒ 30° 

Angle made by minute hand in one minute = 360/60, as minute hand covers 60 minutes in a round. and one round completes a circle which is 360° 

⇒ 6° 

Calculation:

Distance travelled by minute hand in 22 minutes past 5 o' clock = 5 + (22/60)

⇒ 5 + (11/30)

⇒ (150 + 11)/30

⇒ 161/30 hours

Angle made by hour hand = (161/30) × 30° 

⇒ 161° 

Angle made by minute hand = 22 × 6° 

⇒ 132° 

Required difference = 161° - 132° 

⇒ 29° 

∴ The angle (in degrees) between the minute hand and the hour hand of a clock when the time is 22 minutes past 5 o'clock IS 29°.

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