SOLUTION: Write the standard equation of a circle with each given radius and center. 1. r = 4; C= (0, 0) 2. r = 1; C = (2, 3) 3. r = 4; C = (-2, 8) Write the standard equation fo

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write the standard equation of a circle with each given radius and center. 1. r = 4; C= (0, 0) 2. r = 1; C = (2, 3) 3. r = 4; C = (-2, 8) Write the standard equation fo      Log On


   



Question 851811: Write the standard equation of a circle with each given radius and center.
1. r = 4; C= (0, 0)
2. r = 1; C = (2, 3)
3. r = 4; C = (-2, 8)
Write the standard equation for the circle given the following equations.
4. x^2 + y^2 - 8x + 7 = 0
5. x^2 + y^2 + 4x - 6y - 3 = 0

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Standard Form of an Equation of a Circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2
where Pt(h,k) is the center and r is the radius
1 - 3 use above, substitute values given
4 & 5 Completing the Square:
4. (x-4)^2 + y^2 = -7 + 16 = 9
%28x-4%29%5E2+%2B+y%5E2+=+3%5E2
(x+2)^2 + (y-3)^2 = 3 + 4 + 9 = 16
%28x%2B2%29%5E2+%2B+%28y-3%29%5E2+=+4%5E2