Multiple choice

If the area of a circle is $144$ cm$^2$, then the area of its quadrant is _____

  1. $144$ cm$^2$
  2. $12$ cm$^2$
  3. $72$ cm$^2$
  4. $36$ cm$^2$
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D Correct answer
Explanation

The area of a circle is given by pi*r^2. A quadrant is one-fourth of the circle, so its area is (1/4) * 144 = 36 cm^2.

AI explanation

A quadrant represents exactly one-fourth of the total area of a circle. To find its area, divide the total area of the circle by 4. The calculation is 144 cm^2 divided by 4, which results in 36 cm^2.