How do you convert $x^{2} + y^{2} = 9$ $x^2+y^2=9$ to polar form?

Question

How do you convert $x^{2} + y^{2} = 9$ $x^2+y^2=9$ to polar form?

1 Answer

Impact of this question

9301 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-18T10:00:36

$r^{2} = 9$ $r^2=9$

Explanation:

Using the formulae that links Cartesian to Polar coordinates.

$∙ x = r cos θ and y = r sin θ$ $•x=rcostheta" and " y=rsintheta$

Substitute these values into the equation.

$\Rightarrow {(r cos θ)}^{2} + {(r sin θ)}^{2} = 9$ $rArr(rcostheta)^2+(rsintheta)^2=9$

$\Rightarrow r^{2} {cos}^{2} θ + r^{2} {sin}^{2} θ = 9$ $rArrr^2cos^2theta+r^2sin^2theta=9$

remove common factor of $r^{2}$ $r^2$

$\Rightarrow r^{2} ({cos}^{2} θ + {sin}^{2} θ) = 9$ $rArrr^2(cos^2theta+sin^2theta)=9$

Using the trig. identity: ${cos}^{2} θ + {sin}^{2} θ = 1$ $cos^2theta+sin^2theta=1$

$\Rightarrow r^{2} = 9$ $rArrr^2=9$

Science

Math

Humanities

... and beyond

How do you convert $x^{2} + y^{2} = 9$ $x^2+y^2=9$ to polar form?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you convert x^2+y^2=9 x2+y2=9 x^2+y^2=9 to polar form?

1 Answer

Explanation:

Related questions

Impact of this question

How do you convert $x^{2} + y^{2} = 9$ $x^2+y^2=9$ to polar form?