Question

Plz help find the equation of the circle ​

Answer 1

`(x-2)^2+(y+4)^2=34`

Explanation:

The standard form for the equation of a circle is
`(x-h)^2+(y-k)^2=r^2`, where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Since you already know the coordinates of the center of the circle, all you need to do is find the radius. Using the distance formula:

`r=√((7-2)^2+(-1-(-4))^2)=√(5^2+3^2)=√(25+9)=√(34)`

The equation of the circle is therefore:

`(x-2)^2+(y+4)^2=34`

Hope this helps!