The minute hand of a watch is 35cm long . How far does it tip move in 18min??
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Answers
Answered by
13
in 60 min angle made by minute hand = 360
in 18 min angle = 6× 18 = 108 = 108 pie/180
So minute hand moves = 108 × 22× 35/7× 180
= 5× 22 × 108/180
= 110× 108/180 = 11880/180 = 66 cm
Answered by
4
Given:
r = 35cm
To Find:
The distance tip will cover in 18 mins
Explanation:
In 60 mins, the angle made by the minute hand = 360°
1 min = 360°/60°
18 mins = (6×18)° = 108°
θ = 108°
θ = l/r
θ is the angle in radians
l = length of arc
r = radius
Hence θ = 108°
The relation between degree and radian nis given by
1° = (π/180° )radian
Now using this relation
θ = 108°
= (108°×(π/180°))
= 3/5π
l = rθ = 35 × (3π/5)
= 35×(3/5)×(22/7)
= 66
Length = 66cm
Answer = 66cm
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