The length of the minute hand of a clock is 21 cm. Find the area swept by the minute hand in 6minutes
Answers
length of minute hand of clock = radius of circle formed by minute hand on moving in a circle = 21 cm
no. of rounds made in 6 minutes = 6
so, area swept by minute hand in 1 minute = area of 1 round
= π r² (π = 22/7)
= 22/7 * (21)²
= 22/7 * 441
= 9261/7
= 1323 cm²
Since area covered in 1 minute is 1323 cm², then area covered in 6 minutes will be = 1323 * 6
= 7938 cm²
∴The area covered by minute hand in 6 minutes is 7938 cm²
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