Question

As the minute hand of a large clock forms an angle of 52, the end of the minute hand traverses a distance of 23.5 inches. find the length of the minute hand.

Answer 1

The minute hand when moving is swiping a sector

The arc length is given 23.5 inch the angle swiped is 52 degree

we have to find radius

length of arc = 2pi r( theta )/360

23.5 = 2* 3.14 * r ( 52/360)

23.5 = r(0.907)

r= 23.5/ 0.907

r=25.90 inches Answer