Multiple choice

Find the sum of the area of a circle and that of a square, if the circumference of the circle is 88 m and the side of the square is twice the radius of the circle.

  1. 600 m2

  2. 800 m2

  3. 1000 m2

  4. 1400 m2

  5. None of these
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D Correct answer
Explanation

Circumference = 2 * pi * r = 88, so r = 88 / (2 * 22/7) = 14. Area of circle = pi * r^2 = (22/7) * 14 * 14 = 616. Side of square = 2 * r = 28. Area of square = 28^2 = 784. Sum = 616 + 784 = 1400.

AI explanation

First, find the radius of the circle using the circumference formula, 2 * pi * r equals 88, which gives r equals 14 m. The side of the square is twice the radius, making it 28 m, and its area is 28 * 28, which equals 784 square m. The area of the circle is pi * r^2, or (22/7) * 14 * 14, which gives 616 square m. Adding the two areas gives 784 + 616, resulting in a total area of 1400 square m.

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