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.
Answer & explanation
Correct answer: option 3
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