Question

How do you write the equation using rectangular coordinates given `r=2`?

Answer 1

`x^2+y^2=4`

Explanation:

To convert from `color(blue)"polar to cartesian form"`

`color(orange)"Reminder " color(red)(|bar(ul(color(white)(a/a)color(black)(r=sqrt(x^2+y^2))color(white)(a/a)|)))`

`rArrsqrt(x^2+y^2)=2rArrx^2+y^2=4`

This is the equation of a circle, centre-origin and radius = 2