Question

Find the Cartesian equation for the curve.
r^2 = 5

Answer 1

`\displaystyle{x^2+y^2=5}`

Explanation:

Given the polar equation of:

`\displaystyle{r^2 =5}`

We know that 'r' represents the radius which equals to:

`\displaystyle{r = √(x^2+y^2)}`

Therefore, by substitution, we have:

`\displaystyle{\left(√(x^2+y^2) \right)^2=5}`

Cancel the square root:

`\displaystyle{x^2+y^2=5}`

Therefore, the cartesian equation is:

`\displaystyle{x^2+y^2=5}`