If the radius of a circle is increased by 20 percent then the area is increased by
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Let's say the radius of said circle is r
Then Area, A=πr^2
Now new Radius r'=r + 20/100r = 1.2r
New Area =πr'^2= π (1.2r)^2= 1.44πr^2
Difference in Area D = 1.44πr^2-πr^2 = .44πr^2
So Percentage wise that is
.44πr^2*100/πr^2=44%
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Answered by
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44%
Step-by-step explanation:
Let the radius of original circle be r
AS the R IS INCREASED BY 20%
r+20/100of r
r+0.2r=1.2r
AREA= pie r²
22/7*1.2r*1.2r
pie*1.44r²
PERCENTAGE INCREASED BY
pie*1.44r²-pier²/pie r² of 100
0.44*100= 44%
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