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

Solution

The angle described by the minute hand in 1 minute = 66°
∴ The angle described by 1 minute hand in 5 minutes = 30°
i.e. ө = 30° and r = 14 cm
Now, area swept by the minute hand
$equals space πr squared cross times straight theta over 360 equals space open parentheses 22 over 7 cross times 14 cross times 14 cross times 30 over 360 close parentheses space space cm squared equals space 51.3 space space cm squared$

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Surface Areas And Volumes

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

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