Find the angle between hour hand and minute hand of a clock at quarter to five.
Answers
At 5:15 the minute and the hour hands make an angle = 157.5- 90 = 67.5 deg between them.
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- The angle between hour hand and minute hand of a clock at quarter to five is equal to 127.5° .
To Find :- The angle between hour hand and minute hand of a clock at quarter to five ?
Formula used :-
- Quarter to five = one fourth of an hour till 5 o'clock = 15 minutes till 5 = 4 : 45
- Angle between hour hand and minute hand at H : M = |30 × H - M × 5.5|
Solution :-
given time is :-
→ Quarter to five = 4 : 45
So,
→ H = 4
→ M = 45
then,
→ Required angle = |30 × H - M × 5.5|
→ Required angle = |30 × 4 - 45 × 5.5|
→ Required angle = |120 - 247.5|
→ Required angle = |(-127.5°)|
→ Required angle = 127.5° (Ans.)
Extra knowledge :- The angle between minute hand and hour hand of a clock at quarter to five :-
→ 360° - Angle between hour hand and minute hand of a clock at quarter to five
→ 360° - 127°5
→ 232.5°
Learn more :-
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2️⃣ 4:25
3️⃣ 5:50
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