We start with a circle x. If we increase the radius by 50% then the area will increase by 100 in.². Find the original circumference of circle x. ( hint let r = oringinal radius)

Answer 1

I set it up as x+100= (3.14)(.50✖️R^2)

Answer 2

But is that right. I don't really know how to solve that

Answer 3

π(1.5r)^2 = πr^2 + 100
9/4 πr^2 = πr^2 + 100
5/4 πr^2 = 100
r^2 = 80/π
r = 4√(5/π)

so, the original circumference is

c = 2πr = 8√(5π)