Question

The hour hand of a clock is 36cm long. Find the length of the arc made by it between 11:20 am and 11:55 am.* (1 Point) O 132 cm 11 cm 12 cm 124 cm​

Answer 1

Answer:

distance traveled by the hands =circumference of the circle.

circumference of the circle produced by short hand=2πr=2×3.14×4=25.12cm

circumference of the circle produced by long hand=2πR=2×3.14×6=37.68cm

In 24hrs short hand completes 2 rotations and long hand completes 24 rotations

∴ the sum=2(25.12)+24(37.68)=954.56cm

Answer 2

From the given question the correct answer is :

132 cm

the length of the arc made by it between 11:20 am and 11:55 am is 132cm

Solution:

When long hand moves 60 minutes,it travels one full circle ie the perimeter say P ,

Then P=2*22/7*R=2*22/7*42=264(approximately)

the distance between 11:20 am and 11:55 am is 35 mins.

Here the hour hand moves for 35 minutes

i.e. 1/2 rd of 60 minutes

So 264/2 = 132

So the Ans is 132 cm