2. Find the angle subtended by hour hand of a clock in (1) 16 minutes (ii) 30 minutes (iii) 3 hours (iv) 6 hours (v) 10 hours.
Answers
Answered by
1
Answer:
15 mins will be right angle (90°)
30 mins will be straight angle (180°)
3 hours would be complete angle (360°)
Answered by
0
We know that the hour hand completes one rotation in 12h, while the minute hand completes one rotation in 60 min.
Therefore, the angle traced by the hour hand in 12h is
360
∘
.
Angle traced by the hour hand in 7 h 20 min, i.e.,
3
22
h=
(
12
360
×
3
22
)
∘
=220
∘
Also, Angle traced by the minute hand in 60 min
=
360
∘
Angle traced by the minute hand in 20 min
=
(
60
360
×20) ∘
=
120
∘
Hence, Required angle between the two hands
=
220
∘
−
120
∘
=
100
∘
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