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Q.

If the radius of the circle is decreased by 10% then there is ______ decrease in its area.


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a

10%

b

21%

c

19%

d

20% 

answer is C.

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Detailed Solution

Concept- Here, we will first determine the circle's initial area. The area of the new circle will then be determined using the lowered radius, which we will have first determined. The difference between the original area and the size of the new circle will then be used to calculate the decreased area. The proportion of the area decreased will then be revealed.
Let the radius of original circle Question ImageQuestion Image Area of original circle Question ImageHowever, the circle's radius is reduced. Question Image.
Question Image Radius of new circle Question ImageArea of new circle Question ImageQuestion ImageQuestion ImageDecrease in area Question ImagePercentage decrease in area Question ImageHence, the correct option is 3.
 
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