Multiple choice

The radius of two concentric circles are 4 cm and 3 cm. The area of the bounded region will be-

  1. 22 $cm^{2}$
  2. 12$cm^{2}$
  3. 32 $cm^{2}$
  4. 18 $cm^{2}$
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A Correct answer
Explanation

The area of the region between two concentric circles is pi * (R^2 - r^2). Area = pi * (4^2 - 3^2) = pi * (16 - 9) = 7pi. 7 * 3.14 = 21.98, which is approximately 22.

AI explanation

The bounded area between two concentric circles is the difference of their areas, calculated as pi * (R^2 - r^2). Substituting the radii 4 cm and 3 cm gives (22 / 7) * (4^2 - 3^2) = (22 / 7) * (16 - 9). This simplifies to (22 / 7) * 7, which equals 22 sq cm. The result is 22 sq cm.

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