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anonymous

  • 4 years ago

Find the equation of the circle with center that passes through point A. center (1, 3) and point A (4, -2) equaling to 0

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  1. amistre64
    • 4 years ago
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    whats the equation of a generic circle?

  2. anonymous
    • 4 years ago
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    (x-h)^2+(y-k)^2=r^2

  3. anonymous
    • 4 years ago
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    Use the distance formula to find the radius

  4. amistre64
    • 4 years ago
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    good, now replace h with 1 and k with 3 for starters

  5. amistre64
    • 4 years ago
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    the radius "r" is just the distance from the center to A

  6. anonymous
    • 4 years ago
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    (x-1)^2+(y-3)^2=r^2 .....

  7. amistre64
    • 4 years ago
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    good so far; now for "r"

  8. amistre64
    • 4 years ago
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    do you recall the formula or any method to find the distance between 2 points?

  9. anonymous
    • 4 years ago
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    yeahhhhh

  10. amistre64
    • 4 years ago
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    then plug in the point for center and the point for A to determine the distance; thats your r then

  11. amistre64
    • 4 years ago
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    i get 3 over and 5 down sooo; sqrt(3^2+5^2) = sqrt(34) perhaps?

  12. amistre64
    • 4 years ago
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    and r^2 is then 34 (x-1)^2 + (y-3)^2 = 34 expand it all out and put all things to one side to zero it out

  13. anonymous
    • 4 years ago
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    wait im not sure how to zero that out..

  14. amistre64
    • 4 years ago
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    expand your ^2 terms

  15. amistre64
    • 4 years ago
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    whats (x-1)^2 ?

  16. anonymous
    • 4 years ago
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    x^2-1^2

  17. amistre64
    • 4 years ago
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    not quite, (x-1)(x-1) = x^2 -2x +1

  18. amistre64
    • 4 years ago
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    expand the (y-3)^2

  19. anonymous
    • 4 years ago
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    y^2-6^2+3

  20. amistre64
    • 4 years ago
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    .... youre really bad at that :) y-3 y-3 ---- y^2 -3y -3y+9 ---------- y^2 -6y + 9

  21. amistre64
    • 4 years ago
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    sooo: x^2 -2x +1 + y^2 -6y +9 = 34 combine the constants x^2 -2x + y^2 -6y +10 = 34 and -34 from each side x^2 -2x + y^2 -6y +10 = 34 -34 -34 --------------------------- x^2 -2x + y^2 -6y - 24 = 0

  22. anonymous
    • 4 years ago
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    gochaaa , thanks!

  23. amistre64
    • 4 years ago
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    good luck :)

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