There is path of width 5 m around a circular plot of land whose area is 144m2 The total area of the ...........

Quantitative Aptitude (CDS) Mensuration 2D

There is path of width 5 m around a circular plot of land whose area is 144 $\small \pi$ m² . The total area of the circular

plot including the path surrounding it is

349 $\small \pi$ m²

289 $\small \pi$ m²

209 $\small \pi$ m²

149 $\small \pi$ m²

Let r be radius of inner circle.

$\small \pi r^{2} = 144\pi$

r= 12 m

Let R be outer radius of path
R = 12 + 5 = 17m

Area = $\small \pi$ R² = $\small \pi$ (17)² = 289 $\small \pi$ m²

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