SOLUTION: I don't understand what my teacher wants us to do. The question is find the radius of a circle with an are of 3.14(16x(sq)+24x+9) how would i figure this out?

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I don't understand what my teacher wants us to do. The question is find the radius of a circle with an are of 3.14(16x(sq)+24x+9) how would i figure this out?      Log On


   

Question 24602: I don't understand what my teacher wants us to do. The question is find the radius of a circle with an are of 3.14(16x(sq)+24x+9) how would i figure this out?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) A+=+pi+%2A+r%5E2 is the formula for the area of a circle
your teacher gave you:
(2) A+=+pi+%2A+%2816%2Ax%5E2+%2B+24%2Ax+%2B+9%29
so the terms in the parenthesis must represent r%5E2
if I find the square root of r%5E2 I'll have r
%2816%2Ax%5E2+%2B+24%2Ax+%2B+9%29+=+%284%2Ax+%2B+3%29%5E2
sqrt%28%284%2Ax+%2B+3%29%5E2%29+=+4%2Ax+%2B3
the square root can be + or - , but it makes sense to take the positive square root
so 4x + 3 is the radius