SOLUTION: The area of a circle is {(9y^2 + 78y + 169)pi} square centimeters. What is the diameter of the circle (make sure answer is labeled correctly?

Algebra ->  Algebra  -> Circles -> SOLUTION: The area of a circle is {(9y^2 + 78y + 169)pi} square centimeters. What is the diameter of the circle (make sure answer is labeled correctly?      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 123224: The area of a circle is {(9y^2 + 78y + 169)pi} square centimeters. What is the diameter of the circle (make sure answer is labeled correctly?
Answer by Fombitz(13828) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a circle is equal to,
A=%28%28pi%29D%5E2%29%2F4
%28%28pi%29D%5E2%29%2F4=%28pi%29%289y%5E2+%2B+78y+%2B+169%29
D%5E2=4%289y%5E2+%2B+78y+%2B+169%29
D%5E2=4%283y%2B13%29%5E2
D=2%283y%2B13%29 and D=-2%283y%2B13%29