Question

a child starting his journey from point O reaches to A first,then travel one quarter of a circle along AB and finaly to O,if the radius of the circle is r,then find the total distance covered by the child

Answer 1

The path taken by the child is a sector of a circle

A quarter of a circle subtends 90 degrees at the centre


The total distance covered by the child


$= r + \frac{90}{360} x 2x \frac{22}{7} r + r$


$= 2r + \frac{11}{7} r$


$= \frac{25}{7} r$