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.
+91 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)(πr2)
= (1/6)(3.14)(62)
= 18.84
Therefore, the length of the arc made by the hand is 18.84 inches.
