the length of a minute hand of a clock is 21cm. find the area swept by the minute hand in 6 minutes
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Length of minute hand of clock (radius) r = 21cm
In 60 min angle swept is 360°
in 1 min angle swept = 360 / 60 = 6
In 6 min angle swept = 36°
Area of sector of a circle = 2πr × Φ / 360
Area swept in 6 min = 2π ( 21 ) × 36/360
= 2 ( 22/7 ) ( 21 ) × 1/10
= 2 ( 22 × 3 ) × 1/10
= 2 ( 66 ) × 1/10
= 132 / 10
= 13.2 cm²
Hope the solution is clear to you!!
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