The tip of a 6 inch minute hand of a clock sweeps out circular arcs.

What is the length of the arc made by the tip of the minute hand between 5:35 and 5:45?

Use 3.14 for pi. Round your answer to the nearest hundredth.

Guest Mar 25, 2021

#1**+1 **

For the minute hand to 60 minutes is a full rotation of the clock, or 360°.

5:45 - 5:35 = 10 minutes.

10 minutes is 1/6 of 60 minutes, so 10 minutes is 1/6 of 360° = 60°.

Now we can calculate the arc using the angle of 60°.

Arc length = (60/360)(πr^{2})

= (1/6)(3.14)(6^{2})

= 18.84

Therefore, the length of the arc made by the hand is **18.84 inches**.

ArithmeticBrains1234 Mar 25, 2021