Multiple choice

The circumference of a circle exceeds its diameter by $180$ cm. Then the area of the circle

  1. $2772$ $cm^2$
  2. $4984$ $cm^2$
  3. $1848$ $cm^2$
  4. $5544$ $cm^2$
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D Correct answer
AI explanation

The circumference of a circle is given by pi * d and the diameter is d. The problem states pi * d - d = 180, which simplifies to d * (pi - 1) = 180. Using 22/7 for pi, we have d * (15/7) = 180, so the diameter is 84 cm and the radius is 42 cm. The area is calculated as pi * r^2, which becomes (22/7) * 42^2, giving an area of 5544 cm^2.

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