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The Short and Long Hands of a Clock Are 4 Cm and 6 Cm Long Respectively. Find the Sum of Distances Travelled by Their Tips in 2 Days. - Mathematics

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प्रश्न

The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distances travelled by their tips in 2 days.

योग

उत्तर

n 2 days, the short hand will complete 4 rounds.
Length of the short hand = 4 cm
 
Distance covered by the short hand = 4 × 2π × 6 = 576 π cm

In the same 2 days, the long hand will complete 48 rounds.
Length of the long hand = 6 cm
Distance covered by the long hand = 48 × π × 6 = 576π cm

∴ Total distance covered by the hands = Distance covered by the short hand + Distance covered by the long hand

= 32π + 576π

= 608 π

= 608 × 3.14

= 1909.12 cm

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अध्याय 18: Area of Circle, Sector and Segment - Exercise 18A [पृष्ठ ८३२]

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आरएस अग्रवाल Mathematics [English] Class 10
अध्याय 18 Area of Circle, Sector and Segment
Exercise 18A | Q 20 | पृष्ठ ८३२

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