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There is a circle in the coordinate plane. If the radius doubles, the area increases by 108 units. Find the new radius of the circle

 Jun 24, 2021

Best Answer 

 #1
avatar+35061 
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pi r^2 = original area

 

pi (2r)^2   =  pi r^2 + 108

4pi^2  pi   = pi r^2 + 108

3 pi r^2 = 108

r = 3.385                              new radius =6.77 units

 Jun 24, 2021
 #1
avatar+35061 
+2
Best Answer

pi r^2 = original area

 

pi (2r)^2   =  pi r^2 + 108

4pi^2  pi   = pi r^2 + 108

3 pi r^2 = 108

r = 3.385                              new radius =6.77 units

ElectricPavlov Jun 24, 2021

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