9:15 in clock makes which angle?
Answers
Step-by-step explanation:
Again, the two angles created by the hour hand and minute hand at nine-fifteen are 172.5 degrees and 187.5 degrees. The angle made by the hour hand and minute hand on a clock at 9:15 is not all we have calculated. We have calculated the clock angles for every minute of the 12-hour clock.
The answers are 172.5° and 187.5°
GIVEN
Time- 9:15
TO FIND
Angle between 9:15
SOLUTION
The above problem can be simply solved as follows;
It is known that,
The clock is made up of 60 minutes.
The angle of the clock = 360°
Angle from hour hand to minute hand at 9:15
Angle made by 1 minute = 360/60 = 6°
Complete angle made by hour hand = 720°
Angle made by hour hand per minute = 720/60 = 0.5°
Number of time hour hand moves = 555 out of 720
Angle = 555 × 0.5 = 277.5°
Number of times minute hand has moved out = 15 out of 60 times
Angle = 15 × 6 = 90°
Angle from hour hand to minute hand at 9:15 = 360 - (277.5 - 90) = 172.5
Angle from minute hand to hour hand at 9:15
= 360 - the degrees from the hour hand to minute hand
= 360 - 172.5
=187.5°
Hence, The answers are 172.5° and 187.5°
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