Radian and Degree Measure

Question

The minute hand of a clock extends out to the edge of the clock’s face, which is a circle of radius 44 inches. What area does the minute hand sweep out between 9:05 and 9:15? Round your answer to the nearest hundredth.

___in.²

Answer 1

9:05 to 9:15 is 10 minutes

10 minutes out of 60 minutes = 10/60 = 1/6 of the circle 's area

Circle's area = pi(r^2) = pi(44)^2 = 6,082.123854 in^2

1/6 of that area

= about 1,013.69 square inches

(assuming 9:05 and 9:15 are both am or both pm within the same hour and day)