How far does the tip of the minute hand of a clock move in 3

How far does the tip of the minute hand of a clock move in 35 minutes if the hand is 5 inches long? (include units in your answer help (units))

Solution

Rule is that minutes needle when it is at 35 minutes, form an angle of 210 degree at the center, running clockwise.

Now as 1 degree = 3.14/180 radian =0.01745 radian

so 210 degree= 210 x 0.01745 = 3.665 radian

Now as length of arc = angle at center ( in radian) x radius

= 3.665 x 5 = 18.33

so needle covers total 18.33 inch.

Answer