SOLUTION: find an equation for a circle satisfying the given conditions center(6,-5) passes through (1,7)

Question 35736: find an equation for a circle satisfying the given conditions
center(6,-5) passes through (1,7)
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
To find the equation of a circle, you must know the center and the radius of the circle. In this problem, you are given the center, but not the radius. However, the radius is the distance between the center and the given point that is on the circle. Use the distance formula to find this distance, which is the radius of the circle.

Now, the equation of a circle with center at (h,k) and radius r is given by

In this case, it will be

Some teachers require you to multiply this out, but this form is acceptable to me. If your teacher wants it multiplied out, then by all means multiply away!!

R^2 at SCC
RELATED QUESTIONS
Find an equation of the circle that stisfies the given conditions center (-1, 5); passes (answered by stanbon)

Find a an equation of the circle that satifies given conditions center (-6,-6) radius 3 (answered by josgarithmetic)

Find an equation of the line satisfying the conditions given: Parallel to 3x � y = -5... (answered by Alan3354)

Find an equation of the circle that satisfies the given conditions. Center (−4,... (answered by ewatrrr)

Find the equation of the line satisfying the given conditions: Passes through the center... (answered by solver91311)

Find an equation for the line satisfying the given conditions. Through (3, 5) and... (answered by VirtualMathTutor)

WRITE AN EQUATION IN SLOPE INTERCEPT FORM OF THE LINE SATISFYING THE GIVEN CONDITIONS.... (answered by AnlytcPhil)

Write an equation in standard form of the line satisfying the given conditions for... (answered by josmiceli)

Find an equation for the ellipse satisfying the given conditions: Ends of major axis... (answered by lwsshak3)