Question

How do you find the parametric equations for the rectangular equation `x^2+y^2-25=0` ?

Answer 1

Since `x^2+y^2-25=0` is the equation of the circle centered at the origin with radius 5, its corresponding parametric equations are
`x(t)=5cos t`
`y(t)=5sin t`,
where `0 leqt < 2pi`.