The minute hand of a large clock is 6 feet long. Through what exact angle does the minute hand move in 30 minutes, and how far does the tip of the minute hand move in this time?
The minute hand of a large clock is 6 feet long. Through what exact angle does the minute hand move in 30 minutes, and how far does the tip of the minute hand move in this time?
The minute makes a complete rotation in an hour so it goes half in half an hour so the angle is . The arc length is given by where is the radius of the circular arc and is the angle suspending. In this case your arc length is .
So does this mean that I just multiply 6 times `pi to get my answer. When I do this I get 18.84. Is this the angle or how far the tip of the minute hand has moved?