# What is the standard form of the equation of a circle passing through Center at the point (1, 0) and has the point (-2, 3)?

##### 1 Answer

Aug 3, 2017

#### Explanation:

#"the equation of a circle in standard form is "#

#color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))#

#"where "(a,b)" are the coordinates of the centre"#

#"and r the radius"#

#"the radius is the distance from the centre to "(-2,3)#

#rArrr=sqrt((-2-1)^2+(3-0)^2)=sqrt18#

#rArr(x-1)^2+y^2=18" is the equation"#