# How do you find the equation of the circle given center at the (10, 5) and a radius of 11?

##### 2 Answers

Mar 20, 2018

#### Explanation:

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

#"the radius"#

#"here "(a,b)=(10,5)" and "r=11#

#rArr(x-10)^2+(y-5)^2=121larrcolor(red)"equation of circle"#

Mar 20, 2018

#### Explanation:

To find the equation of a circle whose radius and center has been given, we have a formula,

where,

So,

Hope this helps :)