# Math Help - math question

1. ## math question

find the equation of circle which passes through the point(4,1)and(6,5)and whose center lies on the line 4x+y=16

2. Principal equation of circle states that

$(x-h)^2+(y-k)^2=r^2,$ where $(h,k)$ & $r$ are its center and radius respectively.

Since points $(4,1)$ & $(6,5)$ satisfy the equation, plug'em into the aforesaid equation.

Besides, its center lies on the line $4x+y=16,$ so $4h+k=16.$

You need to solve a system of equations.

3. Originally Posted by pramod khanal
find the equation of circle which passes through the point(4,1)and(6,5)and whose center lies on the line 4x+y=16
Hello,

Krizalid has given all necessary equations to calculate the coordinates of the centre of the circle and the length of the radius.
I've attached a construction so you have the possibility to check your answers.