Question : A circular park whose diameter is 210 m has a 5 m wide path running around it (on the outside). What is the area (in m²) of the path?
Option 1: 1020$\pi$
Option 2: 1075$\pi$
Option 3: 1050$\pi$
Option 4: 1100$\pi$
Correct Answer: 1075$\pi$
Solution : According to the question, Inner radius of the park(r) = $\frac{\text{210 m}}{2}$ = 105 m Outer radius of the park (R) = 105 m + 5 m = 110 m Area of circular path = ${π(R ^{2} − r^{2}})$ = ${π((110)^{2} - (105)^{2})}$ = $π((12100) - (11025))$ = $1075π$ Hence, the correct answer is $1075π$.
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