Question

A man walks from point A to B through semicircular track ACB as shown in figure. What is his distance and displacement? Given: Radius of Semi circular track ACB is OB=OA= r *

Answer 1

Answer:

The distance covered by the person = πr ( as perimeter of a circle is 2πr, hence the perimeter of the semicircle is πr )

the displacement (shortest distance )covered = diameter of the semicircle .

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Answer 2

Answer:

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DISTANCE = 3.14r

DISPLACEMENT = 2r

Explanation:

as OB = OA = r

DISTANCE by FOLLOWING ACB MEANS ARC = π r  (half of circle)

                                                                         = 3.14r (approx.)

AND AS WE KNOW DISPLACEMENT IS SHORTEST POSSIBLE PATH :

        ⇒ along the diameter = 2r