Multiple choice

If circumference of a circle is $\displaystyle 3\pi $ then its area is

  1. $\displaystyle \frac{7\pi }{2}$
  2. $\displaystyle 9\pi ^{2}$
  3. $\displaystyle 4\pi ^{2}$
  4. $\displaystyle \frac{9\pi }{4}$
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D Correct answer
Explanation

Circumference = 2*pi*r = 3*pi => r = 1.5 = 3/2. Area = pi*r^2 = pi*(3/2)^2 = 9*pi/4.

AI explanation

Using the circumference formula C = 2 x pi x radius, we have 3 x pi = 2 x pi x radius, which gives a radius of 1.5. Applying the area formula Area = pi x radius^2, the area is pi x 1.5^2 = 9 x pi / 4. The result is 9 x pi / 4.

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