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Question 138
A circular lawn has an area of 154 m2. A path of 7 m width surrounds the lawn. What is the area of the lawn including the path? (in m²).
Solution
Area of the lawn = $$\pi r^2 = 154$$
=> $$\frac{22}{7} r^2 = 154$$
=> $$r^2 = \frac{154 \times 7}{22} = 49$$
=> $$r = \sqrt{49} = 7$$
Now, radius of lawn including path = 7 + 7 = 14 metre
$$\therefore$$ Required area = $$\pi R^2$$
= $$\frac{22}{7} \times 14^2$$
= $$22 \times 28 = 616 m^2$$
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