Question

The hour hand of a clock is 6 cm long. Find the area swept by it between 11:20 am and 11:55 am

Answer 1

area swept by it between 11:20 am and 11:55 am is 56.57

Answer 2

Answer:

65.94 square cm.

Step-by-step explanation:

The hour hand of a clock is 6 cm long.

Minutes in Time 11:20 am and 11:55 am is 35 minutes

Area of sector = $\frac{\theta}{360} \pi r^{2}$

Now 60 minutes = 360°

1 minute = 360/60 = 6°

35 minutes = 6*35=210°

So, area swept by hour hand = $\frac{210^{\circ}}{360^{\circ}} \times 3.14 \times (6)^{2}$

                                               = $65.94$    

Hence the area swept by hour hand is 65.94 square cm.