A circular lawn has an area of \( 154m^{2} \). A path of 7m width surrounds the lawn. What is the area of the lawn including the path? (in \( m^{2} \))


A) 580

B) 754

C) 637

D) 516

E) 616

Correct Answer:
E) 616

Description for Correct answer:


Area of circular lawn \( = 154 m^{2} \)

\( Therefore, \pi r^{2} = 154 \)

\( r^{2} = \frac{154 \times 7}{22} \)

\( r = 7 m \)

Area of circular lawn including of path = \( \pi r^{2} \)

\( = \frac{22}{7} \times \left(7+7\right)^{2} \)

\( = 616 m^{2} \)

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