how far does the tip of a 25 centimeter long minute hand on a clock move in 40 minutes

Answer 1

Think of this as a circle with a radius of 25cm. Since we know that the minute hand makes one revolution every 60 minutes, we can conclude that 40 minutes would be (2/3) of the total perimeter. So just take the perimeter of the circle (pi*diameter) and multiply by (2/3) to get your answer!

A: 50*pi*(2/3)

Answer 2

The tip of the minute hand moves around a complete circle in 1 hour (that is, 60 minutes). 40 minutes is 2/3 of that circumference.

The circumference of a circle with a radius of 25 cm is 2∏r = ∏d = 2∏(25 cm) = 50∏ cm.

(2/3)(50 ∏ cm) = (100/3)∏ cm

The tip of the minute hand moves approximately 104.7 cm