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Matter In Our Surroundings

Question
CBSEENSC9005848

A circular track has a circumference of 314 m with AB as one of its diameter. A cyclist travels from A to B along the circular path. Find the distance moved by the cyclist and the displacement if AB is along East-West direction.

Solution


 
G i v e n space t h a t comma space

C ircumference comma space 2 πr space equals space 314 space straight m

therefore space space space space space Radius comma space space space straight r space equals space fraction numerator 314 over denominator 2 straight pi end fraction space equals space fraction numerator 314 over denominator 2 space cross times space 3.14 end fraction
                       =  50 m
Distance space moved space in space going space from space straight A space to space straight B space along space circular space path comma space
space space space space space space space space space space space space space space space space straight r space equals space 1 half cross times Circumference
space space space space space space space space space space space space space space space space space space equals 1 half cross times 314 space equals space 157 space straight m

Displacement space equals space AB with rightwards arrow on top space equals space 2 straight r

space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 2 space cross times space 50 space

space space space space space space space space space space space space space space space space space space space space space space space space space space equals space 100 space straight m comma space in space east minus west space direction.