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 3 inches. What area does the minute hand sweep out between 9:15 and 9:50? Round your answer to the nearest hundredth.

___ in.²

Answer 1

area of circle = pir^2 = pi(3^2) = 9pi in^2

between 9:15 and 9:50 that covers 35/60 = 7/12 of the circle's area

= 7/12 x 9pi = 7/4 x 3pi = 21pi/4= 5.25pi square inches

= about about 16.49 in^2 rounded to 2 decimals

Answer 2

It sweeps out 35 / 60 of the area of the circle.