Question

The hour hand of a wall clock is 10.5cm long . How far does it tip travel in 24h

Answer 1

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

                                                              $=2\times 2\pi r$

                                                               $=2\times 2\times3.14\times 10.5$

                                                                $=131.88\ cm$

Thus,the  distance traveled by the hour hand tip  of a wall clock  in 24 is 131.88 cm.

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Answer 2

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×$\frac{22}{7}$×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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