Multiple choice

If the perimeter of a circle is 132 cm, the area of the circle is

  1. 1146 cm2

  2. 1236 cm2

  3. 1386 cm2

  4. 1426 cm2
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C Correct answer
Explanation

Perimeter = 2 * pi * r = 132. r = 132 / (2 * 22/7) = 132 * 7 / 44 = 21. Area = pi * r^2 = (22/7) * 21 * 21 = 22 * 3 * 21 = 1386.

AI explanation

Using the circumference formula, the radius of the circle is the perimeter divided by twice pi, yielding 132 divided by 6.28, which is approximately 21 centimeters. The area of a circle formula states that the area is pi multiplied by the radius squared, giving an area of 3.14 multiplied by 441, which equals 1386 square centimeters.

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