The hand moves through 4 hours and has a length of 6 cm. Find the area (in cm², rounded off to two decimal places) of the sector covered by the hour hand.

37.71

We have,

The hour hand moves through 4 hours and has a length of 6 cm. 

Hour hand covers = 0.5° per minute.

In 4 hours = 0.5 × 4 × 60 = 120°

Area of the sector of a circle = \(\frac{ θ }{360  }\)πR²

Now, the area of the sector covered by the hour hand

= π × 6² × \(\frac{ 120 }{360  }\) = 12 × \(\frac{ 22 }{7 }\) = 37.71 cm²