RELATIONSHIPS BETWEEN POLAR AND CARTESIAN COORDINATES

RELATIONSHIPS BETWEEN POLAR AND CARTESIAN COORDINATES


C
Asked by 1 month ago
10 million points

Let $P$ be any point and let $OP=r$, where $O$ is the origin and let $OP$ make an angle $\theta$ with the axis, then $r$ and $\theta$ are called Polar coordinates of the point $P$, and the coordinates may be written as $(r,\theta)$.

Find the polar equation of the circle whose Cartesian equation is $x^2+y^2=4x$

RELATIONSHIPS BETWEEN
chegendungu

1 Answer

C
Answered by 1 month ago
10 million points

$x^2+y^2=4$x

Put $x=r\cos\theta$, $y=r\sin\theta$, then

$r^2\cos^2\theta+r^2\sin^2\theta=4r\cos\theta$

$\therefore r^2=4r\cos\theta$

Therefore the polar equation of the circle is $=4\cos\theta$

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Asked: 1 month ago

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