Find the equation of the circle passing through (2,3) (6,1) & (4,-3)?
1 Answer
Explanation:
The standard equation of a circle is given as:
Where:
We are given 3 points on the circumference of the given circle. This enables us to form 3 independent equations. We need 3 equations, since we are solving for 3 variables,
Using point
Using point
Using point
Solving simultaneously:
Subtract
Subtract
From
Substituting in
Substituting in
Centre is
Using this in
You can use
So the given equation is:
PLOT: