Question

The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is ______.

पर्याय

• 153.9 cm²

• 102.6 cm²

• 51.3 cm²

• 205.2 cm²

Answer 1

The length of the minute hand of a clock is 14 cm. The area swept by the minute hand in 5 minutes is 51.3 cm².

Explanation:

Angle swept by the minute hand in 1 minute `= (360^circ ÷  60) = 6^circ`

`therefore theta = 30^circ`

`therefore  "Angle swept by the minute hand in 5 minutes" = 6^circ xx 5 = 30^circ`

Length of minute hand (r) = 14 cm

`therefore "Area swept" = theta/360 pi"r"^2`

`= 30/360 xx 22/7 xx 14 xx 14`

`= 154/3`

`= 51.3  "cm"^2"`