For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area?

For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area?

For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area? ?

Created: 1 week ago | Updated: 1 week ago | Created By:

Imran Ahmed

10%

20%

36%

400%

0 1

Best Answer Explained in Below-:

Let, radius = 100 Area = π\(r^{2}\) = π ×1002 = 10000π New Radius = 100 - 100 ×20% = 80 New area = π (80)2 = 6400π Area decrease = ( 10000 - 6400) π = 3600π Percentage of area decrease = 3600π/10000π ×100% = 36%

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