Question

The area of the front face of the analog clock shown below is 78.5 square inches. The length of the minute hand is 0.25 inches less than the radius of the front face.



What is the length of the arc, rounded to the nearest hundredth of an inch, the minute hand makes when it moves from the number 4 to the number 10 on the clock?

14.92 inches

15.7 inches

22.08 inches

29.83 inches

Answer 1

Radius of minute hand = Radius of clock - 0.25 = 5- 0.25 = 4. 75 inches

Since the minute hand is making pi radians in moving from 4 to 10,
Length of arc l = r x theta = 4.75 x pi = 14.92 inches