Question

How long is the minute hand on a clock whose tip travels 15 cm from 1:15 to 1:30 to the nearest tenth?

10.1 cm
9.6 cm
6.0cm
0.2 cm

Answer 1

We will see that the length of the minute hand is 9.6 cm.

How long is the minute hand?

We know that for a circle of radius R, the length of the arc defined by an angle of θ is:

L = θ*R

In this case, the length of the arc is 15 cm, and the angle is the one between 1:15 and 1:30, which is one-fourth of a complete circle.

If a complete circle has an angle of 2pi, then one-fourth of a circle has an angle θ = (2pi)/4 = pi/2

Then, replacing the length of the arc and the angle we have:

15cm = (pi/2)*R

Now we can solve this for R, remember that pi = 3.14:

(15 cm)*(2/3.14) = R = 9.6cm

So the length of the minute hand is 9.6 cm.

So the correct option is the second one.

If you want to learn more about circles, you can read:

https://brainly.com/question/25938845