Question

Given the equation of a circle below, find the diameter of the circle. Use only the digits 0-9 to enter the diameter.

x² + y² + 6x - 4y = 387​

Answer 1

The diameter of the circle is 40 units

Explanation:

`x^2+y^2+6x-4y=387`

`x^2+6x+y^2-4y=387`

`(x^2+6x+9)+(y^2-4y+4)=387+9+4`

`(x+3)^2+(y-2)^2=400`

`r^2=400`

`r=20`

`d=2r=2(20)=40`