Question

Will give brainless!!!A clock has a minute hand that is 6 in. Long. How far has the tip of the minute hand traveled between 10:25 a.m and 11:00a.m? Round your answer to the nearest tenth of an inch.

Answer 1

1.83 inches

Explanation:

Given:

Length of minute hand = 6 inches

To find: Distance traveled by the minute hand between 10:25 a.m and 11:00 a.m

Solution:

Let
`l` denotes arc length,
`r` denotes radius and
`\theta` denotes central angle subtended by the arc

So,
`l=r\theta`

Angle subtended by an arc in 1 minute
`=(1)/(2)^(\circ)`

So, angle subtended by an arc in 35 minutes
`=(35)/(2)^(\circ)=17.5^(\circ)`

`=17.5* (\pi)/(180)\\=(17.5\pi)/(180)`

Here,
`r` = Length of minute hand = 6 inches

So,

`l=6\left ( (17.5\pi)/(180) \right )=(6* 17.5* 22)/(7* 180)=1.83` inches