+0  
 
0
162
2
avatar

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.

 Mar 25, 2021
 #1
avatar+91 
+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)(πr2)

                  = (1/6)(3.14)(62)

                  = 18.84

 

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

 Mar 25, 2021
 #2
avatar
0

Since 10 minutes is 1/6th of an hour and it takes 12 hours to go all the way around the clock, i would think that that equals about 5 degrees.

 

Now we can calculate the arc using the angle of 5 degrees. 

Arc length = (5/360) ([pi]r^2) 

                 = (1/72) (3.14) (6^2)

                 = 1.57

Guest Mar 29, 2021

7 Online Users

avatar