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 Rs. 24 per sq. m. The cost of making the path is: (Take π = 22/7)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. Rs. 4224
Let inner radius of garden be 'r' and outer radius be 'R'
R = 15 , r = 15 - 2 = 13m
Area of Path around the circular garden = π(R2 - r2)
Area of Path around the circular garden = π(225 - 169)
Area of Path around the circular garden = 22 × 56/7 = 176m2
If rate of making the path is 24 rs per sq m
Total cost = 176 × 24 = 4224Rs.