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An ant crawls on a wheel of radius 40 cm. Find the i) distance , ii) displacement of it when it completes half a rotation ?

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B.Sc(Maths).

Displacement covered is 80cm, distance covered is 125.71cm
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expert in all subjects from 1-xii

Distance travelled by ant is 125.6cm.
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Headstart to assured 95+ score in math

125.6 and 80 cm
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Math Educator for Std.11th ,12th , Engineering Entrance and Degree Level with 11+ Years Experience

Distance covered for half rotation with radius 40 cm = 22/7x40 = 125.6 cm and Displacement (shortest distance means change of position)= 2 x radius = 2 x 40 = 80cm
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Tutor

Distance covered for half the rotation is pi*r . = 3.14* 40 cm =125.6 cm Displacement is the least distance between the end point and the starting point, which here is just the diameter = 80cm.
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M.A.(Maths.) , CAIIB from Indian Institute of Bankers Bombay

Distance covered as Sh. Jaganshyam is ok i.e 125.6cm. But displacement is equal to the Diameter of the wheel i.e. 40x2= 80cm that is the distance from one pt. to another pt.
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Engineer

Distance-:circumference/2=125.7cm approx. ,displacement: diameter/2=80cm.
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Tutor

Distance= 3.14*40*2
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Software Professional Trainer with 26+ years of Experience in Software Design and Development

Distance = circumbrance of wheel = 2 * pi * radius = 2 * 22/7 * 40 = 251.43cm Displacement = 0.5 * 251.43 = 125.7cm
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Tutor

125.6cm
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