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Question

The short and long hands of a clock are 4 cm & 6 cm long respectively. Find the sum of distance in cm travelled by their tips in two days. (Take π=227). [4 MARKS]


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Solution

Concept: 2 Marks
Application: 2 Marks

Short hand goes around clock 4 times in 2 days.

DIstance travelled
=4×circumference of circle traced by short hand

=4×2π×4

=100.57 cm

Long hand goes around clock 48 times in 2 days.

DIstance travelled =48× circumference of circle traced by long hand

=48×2π×6

=1810.28 cm

Total distance =1810.28+100.57

=1910.85 cm


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