Question

The minute hand of a clock is 70 cm long. How many centimeters does it's tip move in 6 minutes

Answer 1

Hey there !

Thanks for the question !

Here's the answer !

Given that the minute hand's length is 70 cm. So if we assume the minute hand to be radius of the clock we get the radius of clock to be 70 cm.

Also it is said to move for 6 minutes.

We know that for 60 minutes it is 360 degrees. So for 1 minute it is 360 / 60 which is 6 degrees.

So for 6 minutes it has travelled 6 * 6 = 36 degrees.

We know that arc length = 2 π r * ( Ф / 360 )

=> Arc Length

$2 \times \frac{22}{7} \times 70 \times \frac{36}{360} \\\\ => \frac{110880}{2520} \\\\ => \boxed{44 \ cm}$

Therefore length covered by minute hand is 44 cm.

Hope my answer helped !

Answer 2

Given:

The minute hand of the clock is 70cm.

To Find:

How many cm does it move in 6 minutes.

Solution:

We know that,

60 minutes = 360°

1 minute = 360/60

              = 60°

So, for 6 minutes it has travelled  = 6×6

                                                       = 36°

Now,

The length of the arc = 2πr(Ф/360)

                                   = 2 × 22/7 × 70 × 36/360

                                   = 110880/2520

                                   = 44cm

Therefore, 44cm takes to move in 6 minutes.