the minute hand of a clock is 3.5cm long.what is the angle described by the minute hand in 20 minutes.
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Given : minute hand of a clock is 3.5cm long
To Find : .what is the angle described by the minute hand in 20 minutes.
Solution:
Minute hand covers a round / circle in 60 minutes
=> 60 minutes = 360°
=> 1 minute = 360/60 = 6°
=> 20 Minutes = 20 x 6 = 120°
Angle = 120°
Area covered = ( 120°/360)πr²
= ( 120°/360)π(3.5)²
= (1/3)(22/7)(3.5)²
= 12.83 cm²
Length covered = ( 120°/360)2πr
= ( 120°/360)2π(3.5)
= (1/3)2(22/7)(3.5)
= 22/3
= 7.33 cm
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