In a circular garden of radius 15 m, a path of 2 m wide has to be made inside the garden at the rate of ₹ 24 per sq. m. The cost of making the path is: (Take $$\pi=\frac{22}{7}$$)
Radius of garden = 15 m
Inner radius without path = 13 m
Area of the garden = $$\dfrac{22}{7} \times (15^2 - 13^2) = \dfrac{22}{7}\times(15+13)\times(15-13)$$
$$= \dfrac{22}{7}\times28\times2 = 176 m^2$$
Cost per sq.m = Rs.24
Therefore, Cost for 176 sq.m = 24*176 = Rs.4224
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