Suppose the tip of the minute hand of a clock is 6 inches from the center of the clock. Determine the distance traveled by the tip of the minute hand in 30 minutes . Give an exact answer

Answer 1

You should know the definition of ∏ (that is, Pi):

∏ = (Circumference of Circle) / (Diameter of Circle)

You should also know that (Diameter of Circle ) = 2 * (Radius of Circle)

Now, in 30 minutes, the tip of the minute hand travels half of the circumference of its rotation.

For a radius of 6 inches, the diameter is 12 inches, and the total circumference is 12∏ inches.

Half of the circumference is exactly 6∏ inches.

Any approximation to ∏ (for example, 3.14 inches) is not exact.