# How do you write an equation of a circle that passes through the points (3,6), (-1,-2), and (6,5)?

##### 2 Answers

#### Explanation:

by solving we get g=2, f=-6 c=-25

therefore the equation is

#### Explanation:

This approach requires solving a system of three simultaneous first-degree equations.

Let the equation of the circle in a

where

Construct three equations about

Solving for the system shall give

Thus the Equation of the circle:

**Reference:**

"[The] Equation of [a] circle passing through 3 given points", Maths Department, Queen's College, http://www.qc.edu.hk/math/Advanced%20Level/circle%20given%203%20points.htm