Question

A circular field of radius $105$ m has a circular path of uniform width of $5$ m along and inside its boundary. Find the area of the path.

Answer 1

Outer radius $=R=105m$

Inner radius$=R-width=105-5=100m$

Area of path=area between two concentric circles

$=A=\pi R^2-\pi r^2$

$⟹A=\pi ({105}^2-{100}^2)$

$⟹A=3220m^2$

Hence area of path is $3220m^2$