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anonymous

  • one year ago

Help please??? What is the equation of a circle with a center at (0, 9) and a radius of 9?

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  1. anonymous
    • one year ago
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    (x-0)² + (y-9)² = 9²

  2. anonymous
    • one year ago
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    then you need to simplify

  3. jim_thompson5910
    • one year ago
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    Similar Example: Let's say we ask "what is the equation of the circle with radius 4 and center (-2,3)?" Center: \(\large ({\color{red}{h}},{\color{blue}{k}}) = ({\color{red}{-2}},{\color{blue}{3}})\) Radius: \(\large r = {\color{green}{4}}\) Plug all this into \[\Large (x-{\color{red}{h}})^2+(y-{\color{blue}{k}})^2 = {\color{green}{r}}^2\] to get \[\Large (x-{\color{red}{h}})^2+(y-{\color{blue}{k}})^2 = {\color{green}{r}}^2\] \[\Large (x-({\color{red}{-2}}))^2+(y-{\color{blue}{3}})^2 = {\color{green}{4}}^2\] \[\Large (x+2)^2+(y-3)^2 = 16\]

  4. anonymous
    • one year ago
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    okay so the answer is x^2+(y-9)^2=9^2?

  5. jim_thompson5910
    • one year ago
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    you can simplify the 9^2 part

  6. anonymous
    • one year ago
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    okay so x^2+(y-9)^2=81?

  7. jim_thompson5910
    • one year ago
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    correct

  8. anonymous
    • one year ago
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    Good job do you understand though?

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