Question

If the radius of a circle is decreased by 50%, find the percentage decrease in its area.

A) 55% B) 65% C) 75% D) 85%

Answer 1

Step-by-step explanation:

New area when radius is decreased by 50%=5×5=25. Difference= 100-25=75. Difference%= 75/100 × 100 = 75%. So, when the radius of a circle is decreased by 50% the are will decrease by 75%.M

Answer 2

Answer

Let original radius = R.

New radius = 50/100R = 50/100R

Original area =R2

and new area = πR2

3πR24*1πR2*100

Decrease in area = π(R^2)/2= πR^2/4

= 75%

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