How do you convert $x^2 + y^2 = 5$ to polar form?

Question

11023 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-04T03:03:59

$" "$
The given equation in

Cartesian Form or Rectangular Form $color(red)(x^2+y^2=5$

can be converted to Polar Form as:

$color(blue)(r=+- sqrt(5$

$" "$
The given equation is in

Cartesian Form or Rectangular Form $color(red)(x^2+y^2=5$

We need the following formula to convert to Polar Form:

$color(blue)(r^2=x^2+y^2$

$rArr r=sqrt(x^2+y^2$

$color(blue)(x=r cos theta$

$color(blue)(y=r sin theta$

$color(blue)(tan theta = (y/x)$

$rArr theta = tan^(-1)(y/x)$

We have the Cartesian form:

$x^2+y^2=5$

Since, $color(blue)(r^2=x^2+y^2$ we can write

$r^2=5$

$r = +- sqrt(5)$

This the equation in Polar Form.

Hope it helps.

How do you convert x^2 + y^2 = 5 x^2 + y^2 = 5 to polar form?