Question

A circular grass lawn of $35m$ in radius has a path $7m$ wide running around it on the outside. The area ofthe path is ?

• A. $1,496m^2$
• B. $1,450m^2$
• C. $1,576m^2$
• D. $1,694m^2$

Answer 1

Answer: (D)

$1,694m^2$

Area of the path$=\pi r_1^2-\pi r_2^2$

$=\pi (r_1^2-r_2^2)$

$=\frac{22}{7}({\left(42\right)}^2-{\left(35\right)}^2)$

$=\frac{22}{7}(1764-1225)$

$=\frac{22}{7}\times 539=1694m^2$