Question

1. How far does the tip of a 12 cm long minute hand on a clock move in 45 minutes?

Answer 1

Answer:

Therefore the tip of the minute hand on the clock moves 56.57 cm in 45 minutes.

Step-by-step explanation:

Using this formula to find the length of the arc

Arc length = $2\pi r (\frac{\theta}{360} )$

Here $\theta = \frac{360}{60}\times 45$   [for 45 minutes]

            $=270^\circ$

Radius(r) = length of the minute hand = 12 cm

The length of the arc is = $2\pi \times 12\times \frac{270}{360}$

                                     = 56.57 cm

Therefore the tip of the minute hand on the clock moves 56.57 cm in 45 minutes.