SOLUTION: find the area of the circle whose equation is: x^2-4x+y^2+12y-25=0 (hint: the equation for a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: find the area of the circle whose equation is: x^2-4x+y^2+12y-25=0 (hint: the equation for a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius)      Log On


   



Question 304041: find the area of the circle whose equation is: x^2-4x+y^2+12y-25=0
(hint: the equation for a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius)

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
find the area of the circle whose equation is: x^2-4x+y^2+12y-25=0
(hint: the equation for a circle is (x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius)
.
+x%5E2-4x%2By%5E2%2B12y-25=0+
Complete the square:
+%28x%5E2-4x%2B__%29+%2B+%28y%5E2%2B12y%2B__%29+=+25+
+%28x%5E2-4x%2B4%29+%2B+%28y%5E2%2B12y%2B36%29+=+25%2B4%2B36+
+%28x-2%29%5E2+%2B+%28y%2B6%29%5E2+=+65+
From here we see that:
r%5E2=+65+
.
Area+=+%28pi%29r%5E2
Area+=+%283.14%29%2865%29
Area+=+204.1+ square units