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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 m?).
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0
CCommunity
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 = $\pi R^2$
= $\frac{22}{7} \times 14^2$
= $22 \times 28 = 616 m^2$
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 = $\pi R^2$
= $\frac{22}{7} \times 14^2$
= $22 \times 28 = 616 m^2$
0
CCommunity
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 = $\pi R^2$
= $\frac{22}{7} \times 14^2$
= $22 \times 28 = 616 m^2$
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 = $\pi R^2$
= $\frac{22}{7} \times 14^2$
= $22 \times 28 = 616 m^2$