Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If radius of a circle is decreased by 11%, then the total decrease in the area of the circle is given as:

Options:

19.50%

20.79%

20.50%

21%

Correct Answer:

20.79%

Explanation:

Decrement in the radius = 11%

We have a concept ,

If the radius is decreased by x% then the change in its area is given by = x + x - \(\frac{x^2}{100}\)

The total percentage decrease in the area of the circle is = 11 + 11 - \(\frac{11^2}{100}\)

= 22 - 1.21 = 20.79%