For a 20% decrease in the radius of a circle, what will be the percentage reduction in its area?
A
10%
B
20%
C
36%
D
400%
Correct Answer: 36%
Let, radius = 100 Area = πr2 = 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%