The length of the minute hand of a clock is 3.5cm. Find the area swept by minute hand in 30 minutes
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1
In 30 minutes, Minutes hand would cover 180° of angle! So it's sweeps half of area of circle! So!
Area swept = (0.5) (π) (35)²
After full calculation you would get answer as 1925 cm
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42
The length of the minute hand of a clock is 3.5cm. Find the area swept by minute hand in 30 minutes
Angle subtended by the minutes hand in 30 min (x°) = 180°
Length of the minute's hand (r) = 3.5cm
Area swept by minutes hand in 30 min
= area of the sector
= x°/360° × πr²
= 180/360 × 22/7 × (3.5)²
= 19.25 cm²
The area swept by minute hand in 30 minutes is 19.25 cm²
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