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If the radius of a circle is decreased by 50%, its area is reduce...

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Question:
If the radius of a circle is decreased by 50%, its area is reduced by:

Option A):
25%
Option B):
75%
Option C):
50%
Option D):
None of these

Correct Answer is Option B):
75%

Explanation:
Solution:
New radius = 50% of R = 50/100 R = R/2
New Area = π x (R/2)² =  πR²/4
Decrease = (πR² - πR²/4) = 3πR²/4
Decrease % = (3πR²/4 x 3πR² x 100) % = 75%

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