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Geometry
If the radius of a circle is decreased by 50%, its area is reduced by :
a. 25%
b. 50%
c. 75%
d. None
Read Solution (Total 2)
-
ANS:-75%
if any sides of 1 rectangle,sphere,circle,rhombus,square increase by x5 then used the formula 2x+(x2/100)% AND by decreased by x% then 2x-x2/100
so in this case, radis decreased by 50%
2*50-(50*50)/100
100-25
75%- 12 years agoHelpfull: Yes(4) No(0)
- ans.9.75%
radius is decreased by 50%
so,new radius r'=r+dr=r-0.5r=0.95r
area=pi*r^2
new area is a'
therefore.
a'=a*[(pi*r^2)/(pi*(0.95r)^2)]
a'=0.9025a
a'=a-0.0975a
da=0.0975=9.75% - 9 years agoHelpfull: Yes(0) No(1)
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