Multiple choice

The circumference of a circle, whose area is $24.64{m}^{2}$, is

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

Area = pi * r^2 = 24.64. Using pi = 22/7, r^2 = 24.64 * 7 / 22 = 1.12 * 7 = 7.84. Thus, r = sqrt(7.84) = 2.8. The circumference is 2 * pi * r = 2 * (22/7) * 2.8 = 2 * 22 * 0.4 = 17.60 m.

AI explanation

Using the area formula Area = pi x radius^2 and pi = 22/7, we solve 24.64 = (22/7) x r^2 to get r^2 = 7.84, making the radius 2.8 m. Applying the circumference formula C = 2 x pi x r gives 2 x (22/7) x 2.8 = 44/7 x 28/10 = 17.60 m. The result is 17.60 m.

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