Multiple choice

The ratio of circumference and area of a circle is $2:7$. Find its circumference ?

  1. $14\pi$
  2. $\dfrac { 7 }{ pi }$
  3. $7\pi$
  4. $\dfrac { 14 }{ pi }$
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A Correct answer
Explanation

Circumference = 2*pi*r, Area = pi*r^2. Ratio = (2*pi*r) / (pi*r^2) = 2/r. Given 2/r = 2/7, so r = 7. Circumference = 2*pi*7 = 14*pi.

AI explanation

The ratio of circumference to area is 2 * pi * r / (pi * r^2), which simplifies to 2 / r. Setting 2 / r equal to 2 / 7 gives a radius of 7. The circumference is 2 * pi * 7 = 14 * pi.

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