Distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock is equal to ( 40/3)π.
As given in the question,
Length of the minute hand of a clock 'r' is equal to 10 inches
Minute hand of a clock moves from 12 to 8 o'clock
Central angle made by minute hand of a clock from 12 to 8 o'clock
= (8 /12) × 360°
= 240°
Distance travelled by tip of the minute hand of a clock is same as the arc length of a clock
= (central angle / 360°) × circumference
= (240° /360°) × 2π (10)
= 40π/3 inches.
Therefore, distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock is equal to
(40/3)π.
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