Multiple choice

The area of a circle is $24.64$. $\displaystyle m^{2}$ What is the circumference of the circle ?

  1. $14.64 m$
  2. $16.36 m$
  3. $17.60 m$
  4. $18.40 m$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Given area = pi * r^2 = 24.64. Taking pi = 22/7, r^2 = 24.64 * 7 / 22 = 7.84, so r = 2.8. The circumference is 2 * pi * r = 2 * (22/7) * 2.8 = 17.60 m.

AI explanation

Using the circle area formula, 24.64 equals pi times the radius squared, so dividing 24.64 by 3.14 (or 22 over 7) gives a radius squared of 7.84, making the radius 2.8 m. The circumference formula is 2 times pi times the radius, which gives 2 times 22 over 7 times 2.8. The circumference is 17.60 m.

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