The Reflex angle between the hands (minute and hour) of a clock at 12 minutes past 9 is
Answers
Given : 12 minutes past 9
To Find : The Reflex angle between the hands (minute and hour) of a clock
Solution:
At 9
Hour Clock is at 270° and Minute clock is at 0°
12 Minute past 9
Every 60 minutes (1 hr ), minute hand moves 360°
=> in 1 Minute , minute hand moves 6°
=> in 12 Minute , minute hand moves 72°
Position of minute hand = 72°
Every 60 minutes (1 hr ), hour hand moves 30°
=> in 1 Minute , minute hand moves 1/2°
=> in 12 Minute , minute hand moves 6°
Position of hour hand = 270 + 6 =276°
Angle between minute hand and hour hand
= 276 - 72 = 204°
or 360 - 204 = 156°
Reflex angle > 180°
Hence Reflex angle between the hands (minute and hour) of a clock at 12 minutes past 9 is 204°
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