Celia is staring at the clock waiting for school to end so that she can go to track practice. she notices that the 4-inch-long minute hand is rotating around the clock and marking off time like degrees on a unit circle.

part 1: how many radians does the minute hand move from 1: 25 to 1: 50? (hint: find the number of degrees per minute first.)
part 2: how far does the tip of the minute hand travel during that time?

you must show all of your work.

Well, we know the minute hand is 4 inches long, thus, the radius of the circular clock is 4 then :)

part 1)

now, there are 360° in a circle.... the clock has 60 minutes, or 60 even intervals...now, how many degrees is it for each minute? well, let's divide 360° by 6 then, 360/6 is just 6.  That means each minute to the next, is 6°, well, how many radians is that? well, we know there are π radians in 180°, so, how many radians in 6° then?



so, there are π/30 radians in 6°.

now, from 1:25 to 1:50 is 25 minutes, and thus 25 * π/30 radians, or 5π/6 radians.

part 2)

what is the arc made by those 25 minutes?

5/8 beds for each square yard