Multiple choice

A circular garden of radius 14 m is surrounded with a circular path of radius 23 m. If the area of circular path is to be covered with tiles at the rate of Rs. 20 per sq. m, then what will be the approximate total cost (π = 22/7)?

  1. Rs. 20,930

  2. Rs. 20,210

  3. Rs. 27,770

  4. Rs. 24,730

  5. Rs. 26,350
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Area of path = pi * (R^2 - r^2) = (22/7) * (23^2 - 14^2) = (22/7) * (529 - 196) = (22/7) * 333 = 1046.57 sq m. Cost = 1046.57 * 20 = 20931.4. Closest option is 20930.

AI explanation

The area of the circular path is calculated by subtracting the area of the inner garden from the area of the outer circle. Using the area formula pi*R^2, the path area is (22/7) * (23^2 - 14^2), which equals (22/7) * (529 - 196) = (22/7) * 333 = 1046.57 square metres. Multiplying this area by the tiling rate of Rs. 20 per square metre gives an approximate total cost of Rs. 20,930.

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