Question

find the angle between hour hand and minute hand of a clock at quarter to 12

Answer 1

quarter to six

find the angle between hour hand and minute hand in a clock

an hour clock travels 360° in 12 hrs

=> 30° in 1 hrs

=> 30/4 = 7.5° in 1/4 hr = 15 minutes

at 6 o Clock Hr Clock should be at 6 = 180°

but its Quarter to 6 => 15 mins left for

=> Hr clock is at 180° - 7.5° = 172.5°

Minute Clock travels 360° in 60 minutes

=> 6° in 1 minutes

at Quarter to six Minute Clock has traveled for 45 min

=> 45 * 6 = 270°

angle between hour hand and minute hand in a clock

= 270° - 172.5°

= 97.5°

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