# How do you find the equation for the circle if the equation of two diameters are 2x+y=6 and 3x+2y=4 and radius is 9?

##### 1 Answer

Aug 27, 2016

#### Explanation:

The two diameters will meet at the centre of the circle

Or

And

Subtract gives x =8

Substitute in one equation gives y=-10

Then check that you are right in the other equation

The general equation of a circle is

Where (a,b) is the centre of the circle and r is the radius.

The centre of the circle is (8,-10) the radius is 9

Hence the answer