Question

A pond that is $100$ m in diameter is surrounded by a circular grass walk that is $2$ m wide. How many square meters of grass is there for the walk?

• A. $98\pi$
• B. $100\pi$
• C. $102\pi$
• D. $204\pi$

Answer 1

Answer: (D)

$204\pi$

Area of grass on walk $=$ Area of outer circle $-$ Area of the pond
$=\pi \times {52}^2-\pi \times {50}^2$
$=\pi (2704-2500)$
$=\pi \times 204$
So, Area of grass for the walk $=204\pi m^2$