The sum of the areas of two circles is 80pie square meters. find the length of a radius of each circle if one of them is twice as long as the other. what is the radius of the larger circle?

Write an equation to model this situation.  

A1+A2=80

The formula for the area of a circle is A=πr^2.  Let A1 be πr^2.  If A2's r is twice A1's, then A2=π(2r)^2:

πr^2+π(2r)^2=80

*Simplify*

πr^2+π4r^2=80

*Combine like terms*

5πr^2=80

*Divide both sides by 5π*

r^2=16/π

*Take the square root of both sides*

r=4/√π

*Multiply r by 2 for the second radius*

r2=8/√π

Hope this helps!!

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your answer would be b

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