NECO Mathematics 2024 Theory — Question 3
Question 3 of 13 from the National Examinations Council (NECO) Mathematics 2024 Theory paper, with the correct answer and a full explanation.
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3. A circular floor of a building is to be tiled with ceramic tiles each of side 40cm × 40cm. If the perimeter of the floor is 66m, calculate, correct to the nearest whole number, the number of tiles required to completely tile the floor. [Take π=22/7]
Model answer
Perimeter (circumference) = 66m = 2πr. r = 66/(2×22/7) = 66×7/44 = 10.5m. Area of floor = πr² = 22/7 × 10.5² = 22/7 × 110.25 = 346.5 m². Area of one tile = 40cm×40cm = 0.4m×0.4m = 0.16m². Number of tiles = 346.5/0.16 = 2165.625 ≈ 2166 tiles.
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