Write the equation of a circle given the center and

sputavanomr 2021-12-05 Answered
Write the equation of a circle given the center and radius. center: (7, 2); radius= 5.

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Expert Answer

Otigh1979
Answered 2021-12-06 Author has 7209 answers
Use the standard equation of the circle given by:
\(\displaystyle{\left({x}-{h}\right)}^{{{2}}}+{\left({y}-{k}\right)}^{{{2}}}={r}^{{{2}}}\)
where (h,k) is the center and r is the radius.
Substitute h=7, k=2, and r=5:
\(\displaystyle{\left({x}-{7}\right)}^{{{2}}}+{\left({y}-{2}\right)}^{{{2}}}={5}^{{{2}}}\)
\(\displaystyle{\left({x}-{7}\right)}^{{{2}}}+{\left({y}-{2}\right)}^{{{2}}}={25}\)
Result:
\(\displaystyle{\left({x}-{7}\right)}^{{{2}}}+{\left({y}-{2}\right)}^{{{2}}}={25}\)
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