SOLUTION: Find the equation for the circle with the center (5,-3) and passing through (-1,-4) Thank you very much!

Question 582551: Find the equation for the circle with the center (5,-3) and passing through (-1,-4)
Thank you very much!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the general equation of a circle.

Plug in and (since the center is the point (h,k) ).

Plug in and (this is the point that lies on the circle, which is in the form (x,y) ).

Combine like terms.

Square each term.

Add.

So because , , and , this means that the equation of the circle with center (5,-3) that goes through the point (-1,-4) is .

RELATED QUESTIONS
Find the equation of the circle (standard form) with center at (3,-4) and passing through (answered by Alan3354)

Find an equation of the circle with center at (1, -2) and passing through (7,... (answered by josgarithmetic)

1. find the equation of the circle in standard form with center at ( -2, 1) and passing... (answered by mouk)

Please help me with this equation. Find the equation for the circle with center (-5,4) (answered by solver91311,MathLover1)

Find the equation of the circle with center on the line y=2x-9 and passing through (4,-3) (answered by josgarithmetic)

Draw the circle with center at ( 1, 2) and passing through ( 8, 3). Does this circle... (answered by josgarithmetic)

Find the equation of the circle (standard form) with center at (3,-4) and passing through (answered by Earlsdon)

Find an equation of the circle with center (-2,4) and radius 3 THANK YOU SO... (answered by jim_thompson5910)

Find the standard equation of the circle passing through a given point with a given... (answered by Alan3354,stanbon)