The hour hand of a wall clock is 10.5cm long . How far does it tip travel in 24h
Answers
The distance traveled by the hour hand tip of a wall clock in 24h is 131.88 cm.
Step-by-step explanation:
Given:
The hour hand of a wall clock is 10.5 cm long.
The hour hand of a wall clock tip travel in 24 h.
To Find:
The distance traveled by the hour hand tip of a wall clock in 24h.
Concept Used:
In one day the hour hand covers 2 rounds.
Solution:
As given,the hour hand of a wall clock is 10.5 cm long.
Length of the hour hand of a wall clock = 10.5 cm.
Let radius of circular path covered by hour hand r = 10.5 cm
The distance traveled by the hour hand tip of a wall clock in 24
Thus,the distance traveled by the hour hand tip of a wall clock in 24 is 131.88 cm.
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Answer:
The distance traveled by the tip of the hour hand in 24 hours = 132cm
Step-by-step explanation:
Given,
The hour hand of a wall clock is 10.5cm long
To find,
The distance with which the tip of the hour hand travels in 24 hours
Solution:
Recall the formula,
Circumference of a circle = 2πr, where r is the radius of the circle.
The hour hand makes one full round in 12 hours.
Hence the distance covered by the tip of the hour hand in 1 hour = circumference of the circle with radius is the length of the hour hand.
Since the length of the hour hand = 10.5cm
The the radius of the circle = r = 10.5cm
The circumference of the circle = 2 ×π×10.5 = 2××10.5 = 2×22×1.5 = 66cm
Hence the distance traveled by the tip of the hour hand in 12 hours = 66cm
The distance traveled by the tip of the hour hand in 24 hours = 66×2 = 132cm
∴ The distance traveled by the tip of the hour hand in 24 hours = 132cm
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