SOLUTION: Find an equation of the circle with center at the origin and passing through (-3,-4) in the form of (x-A)^2+(y-B)^2=C where A, B, C are constants

Algebra.Com
Question 704675: Find an equation of the circle with center at the origin and passing through (-3,-4) in the form of (x-A)^2+(y-B)^2=C where A, B, C are constants
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
Find an equation of the circle with center at the origin and passing through (-3,-4) in the form of (x-A)² + (y-B)² = C where A, B, C are constants


It has center (A,B) = (0,0) so we can substitute A=0 and B=0 into:

  (x-A)² + (y-B)² = C

  (x-0)² + (y-0)² = C

And since it goes through (-3,-4)

we can substitute x=-3, and y=-4 

(-3-0)² + (-4-0)² = C

(-3)² + (-4)² = C

       9 + 16 = C

           25 = C

Now we can substitute 25 for C:

  (x-0)² + (y-0)² = C

  (x-0)² + (y-0)² = 25

That's the answer showing the 0's for A and B.
You can erase the 0's and just have

          x² + y² = 25

Unless your teacher want's you to leave the 0's 
to show what A and B are.

Edwin

Edwin

RELATED QUESTIONS

Find an equation of the circle with center at(-8,7) and passing through(1,-4) in the... (answered by Edwin McCravy,nerdybill)
Find an equation of the circle with center at (-3,-3)that is the tangent to the y-axis in (answered by josgarithmetic)
1. find the equation of the circle in standard form with center at ( -2, 1) and passing... (answered by mouk)
Find an equation of the circle with center at (1, -2) and passing through (7,... (answered by josgarithmetic)
Find an equation of the circle with center at the origin and passing through... (answered by lwsshak3)
Find the equation of circle having centre at origin and passing through point... (answered by Alan3354)
Find an equation of the straight line passing through the points with coordinates (4,... (answered by dkppathak,Alan3354)
Find an equation of the circle with center at(3,-1) that is tangent to the y-axis in the (answered by Edwin McCravy)
A and B are the points of intersection of the circle with equation x^2 + y^2 + 4x - 6y +... (answered by Alan3354)