# How do you write the equation for a circle with center at (2,3) that is tangent to the x-axis?

##### 2 Answers

Jul 26, 2018

#### Explanation:

Given that the center of circle is

The above circle is tangent to the x-axis hence its radius

hence the equation of the circle is given by following formula

Jul 26, 2018

#### Explanation:

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

#â€¢color(white)(x)(x-a)^2+(y-b)^2=r^2#

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

#"is the radius"#

#"here "(a,b)=(2,3)#

#"r is the vertical distance from the x-axis to the centre"#

#r="y-coordinate of centre "=3#

#(x-2)^2+(y-3)^2=9larrcolor(red)"equation of circle"#