Question

A path of width 8 m runs around a circular park whose radius is $38m$. Find the area of the path.

• A. $2112m^2$
• B. $2834m^2$
• C. $3212m^2$
• D. $1578m^2$

Answer 1

The correct option is A $2112m^2$

Inner radius (Radius of the park) $=38m$
Outer radius (Radius of the park $+$ path width of the park) $=38+8=46m$
Area of the path $=\pi ({46}^2-{38}^2)$
$=\frac{22}{7}(2116-1444)$
$=\frac{22}{7}\left(672\right)$
$=2112m^2$