# How do you write the equation of the circle with center and radius (1,-3), 10?

##### 1 Answer

Jul 3, 2016

#### Explanation:

The standard form of the equation of a circle is.

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

where (a,b) are the coordinates of the centre and r, the radius.in this question a = 1 , b = -3 and r = 10

Substitute these values into the standard equation.

#(x-1)^2+(y-(-3))^2=10^2#

#rArr(x-1)^2+(y+3)^2=100" is the equation"#