Identify the curve by finding a Cartesian equation for the

khi1la2f1qv 2021-11-13 Answered
Identify the curve by finding a Cartesian equation for the curve. \(\displaystyle{r}^{{2}}={5}\)

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Ourst1977
Answered 2021-11-14 Author has 7070 answers
Given that
\(\displaystyle{r}^{{2}}={5}\)
Recall that: \(\displaystyle{r}^{{2}}={x}^{{2}}+{y}^{{2}}\)
Therefore we have
\(\displaystyle{x}^{{2}}+{y}^{{2}}={5}\)
This can be rewrittena as
\(\displaystyle{\left({x}-{0}\right)}^{{2}}+{\left({y}-{0}\right)}^{{2}}={\left(\sqrt{{{5}}}\right)}^{{2}}\)
This is equation of a circle with centre at (0,0) and radius \(\displaystyle\sqrt{{{5}}}\)
Result:
That is equation of a circle with at (0,0) and radius \(\displaystyle\sqrt{{{5}}}\)
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