Multiple choice

If the circumference (in $cm$) and the area (in $\displaystyle cm^{2}$) of a circle are equal then find the radius of the circle

  1. $1 cm$
  2. $2 cm$
  3. $3 cm$
  4. $4 cm$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Circumference = 2 * pi * r. Area = pi * r^2. Setting them equal: 2 * pi * r = pi * r^2. Dividing by pi * r (assuming r > 0), we get 2 = r.

AI explanation

Setting the circumference formula, 2 pi r, equal to the area formula, pi r squared, we solve for the radius. Dividing both sides by pi r leaves 2 equals r. The radius of the circle is 2 cm.

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