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.

1.83 inches

Step-by-step 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 denotes arc length, denotes radius and denotes central angle subtended by the arc

So,

Angle subtended by an arc in 1 minute

So, angle subtended by an arc in 35 minutes

Here, = Length of minute hand = 6 inches

So,

inches

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have