Multiple choice

If the radius of a circle is increased by $10$%, then the corresponding area of the new circle will be ................. . ($\pi =3.14$)

  1. $121\pi { r }^{ 2 }$
  2. $12.1\pi { r }^{ 2 }$
  3. $1.21{\pi}^{ 2 }$

  4. None of the given three.
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D Correct answer
AI explanation

If the original radius is r, increasing it by 10 percent gives a new radius of 1.1r. Using the area of a circle formula, the new area becomes pi multiplied by 1.1r squared, which simplifies to 1.21 multiplied by pi multiplied by r squared. Since none of the given three options match the expression 1.21 times pi times r squared, the correct choice is None of the given three.

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