Question 125

A circular Ground whose diameter is 35 meters has a 1.4 meters broad garden around it.What is the area of the garden in square meters ?

Solution

Radius of circular ground = $$r = \frac{35}{2}=17.5$$ m and width of broad garden = 1.4 m

=> Radius of outer circle (ground+garden), R = 17.5 + 1.4 = 18.9 m

Area of garden = Area of outer circle - Area of inner circle

= $$\pi R^2-\pi r^2 = \pi(R-r)(R+r)$$

= $$\frac{22}{7}(18.9-17.5)(18.9+17.5)$$

= $$\frac{22}{7} \times 1.4 \times 36.4$$

= $$22 \times 0.2 \times 36.4 = 160.16$$ $$m^2$$

=> Ans - (A)

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