The area of the front face of the analog clock shown below is 50.24 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 the minute hand makes when it moves from the number 3 to the number 7 on the clock?
Answer
1.31 inches
7.85 inches
8.37 inches
23.55 inches

Question

The area of the front face of the analog clock shown below is 50.24 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 the minute hand makes when it moves from the number 3 to the number 7 on the clock?
Answer
		1.31 inches
		7.85 inches
		8.37 inches
		23.55 inches

dumbcow · Answer

from 3 to 7 is 120 degrees or 2pi/3 radians

find radius --> pi*r^2 = 50.24  --> r=4
length of hand = 4-.25 = 3.75

arc = 3.75*2pi/3 = 7.85