Question

the minutes hand of a watch 1.5 cm long. How far does it tiks in 40 minutes?
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Answer 1

Answer:

The length of the minute hand is 6.28 cm.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

The length of the minute hand is 6.28 cm.

Step-by-step explanation:

Given : The minute hand of a watch is 1.5 cm long.

To find : How far does its tip move in 40 minutes?

Solution :

The minute hand of a watch is 1.5 cm long.

i.r. r= 1.5 cm

We know that,

l=r\times\thetal=r×θ

Where, r is the radius

l is the length of arc

\thetaθ is the angle subtended.

Now,

Minute hand make 1 revolution in 1 hour.

i.e. Minute hand complete 360° in 1 hour.

So degree complete in 1 minute = \frac{360}{60}

60

360

Degree complete in 40 minute = \frac{360}{60}\times 40

60

360

×40

Degree complete in 40 minute = 240°

In radian measure,

\theta=\frac{\pi}{180}\times240θ=

180

π

×240

\theta=\frac{4\pi}{3}θ=

3

4π

Substitute the value in the formula,

l=r\times\thetal=r×θ

l=1.5\times\frac{4\pi}{3}l=1.5×

3

4π

l=2\pil=2π

l=2\times 3.14l=2×3.14

l=6.28l=6.28

Therefore, The length of the minute hand is 6.28 cm.

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