# Replace the polar equation with equivalent Cartesian equations. (x-5)^{2}+y^{2}=25

Burhan Hopper 2021-06-08 Answered
Replace the polar equation with equivalent Cartesian equations. $\left(x-5{\right)}^{2}+{y}^{2}=25$
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Step 1
Given:
$\left(x-5{\right)}^{2}+{y}^{2}=25$
Step 2
Now,
$\left(x-5{\right)}^{2}+{y}^{2}=25$
Since,
$x=r\mathrm{cos}0,y=r\mathrm{sin}0,{r}^{2}={x}^{2}+{y}^{2}$.
$⇒{x}^{2}-10x+25+{y}^{2}=25$
$⇒{x}^{2}+{y}^{2}-10x=0$
$⇒{r}^{2}-10r\mathrm{cos}0=0⇒r=\frac{{r}^{2}}{10\mathrm{cos}0}$
Jeffrey Jordon