Question

If a circular grass lawn of $35m$ in radius has a path $7m$ wide running around it on the outside, then the area of the path is

• A. $1450m^2$
• B. $1576m^2$
• C. $1694m^2$
• D. $3368m^2$

Answer 1

The correct option is C $1694m^2$

Radius of bigger circle(with the path) = $35+7=42m.$

So, $R=42$ $cm$ & $r=35$ $cm$
Thus area of the path $=$ Area of bigger circle $-$ Area of smaller circle
$\therefore$ Required area $=\pi (42{)}^2-\pi (35{)}^2=\frac{22}{7}\times (42+35)(42-35)=22\times 77=1694m^2$