# How do you write a polar equation for the circle centered at the origin with radius #sqrt2#?

##### 1 Answer

Jan 11, 2017

#### Explanation:

The equation of a circle centred at the origin is.

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

where r is the radius.

#x^2+y^2=(sqrt2)^2#

#rArrx^2+y^2=2larr" equation in cartesian form"# To convert from

#color(blue)" cartesian to polar form"#

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

#rArrx^2+y^2=2tor^2=2larr" in polar form"#