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anonymous

  • one year ago

Which of these points lies on a circle centered at A(3, 3) and passing through B(6, 5)? C(1, 6) D(6, 0) E (0, 3) F(3, -1) G(3, 6)

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  1. FireKat97
    • one year ago
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    I think the easiest way to approach this, would be firstly to apply the distance formula between A and B (since B lies on the circle and is not the centre, it must lie on the circumference) so by finding this distance, we can determine the radius

  2. FireKat97
    • one year ago
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    do you remember the distance formula?

  3. anonymous
    • one year ago
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    \[2pr ^{2}\]

  4. FireKat97
    • one year ago
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    not quite, thats the circumference formula, we want the distance between two points

  5. FireKat97
    • one year ago
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    so the equation you want to use is \[d = \sqrt{(y - y1)^2 + (x - x1)^2}\]

  6. anonymous
    • one year ago
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    oh yea

  7. FireKat97
    • one year ago
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    yup, so apply that and tell me what you get for the distance

  8. anonymous
    • one year ago
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    3.6

  9. anonymous
    • one year ago
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    @FireKat97

  10. FireKat97
    • one year ago
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    yup, thats correct! but as a general rule, when we get square roots and stuff, you're better off keeping your answer in exact form, so just stick with √13

  11. FireKat97
    • one year ago
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    btw do you remember what the general equation of a circle is?

  12. anonymous
    • one year ago
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    not really

  13. FireKat97
    • one year ago
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    okay so the general equation of a circle is- (x - {x coordinate of centre})^2 + (y - {y coordinate of centre})^2 = radius^2

  14. FireKat97
    • one year ago
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    and we have been given the centre, and had recently worked out the radius, so try subbing in the info we now have, and show me what you get

  15. anonymous
    • one year ago
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    2.32?

  16. FireKat97
    • one year ago
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    umm, not exactly, so we sub in the stuff we now know to get, (x - 3)^2 + (y - 3)^2 = (√13)^2 so (x - 3)^2 + (y - 3)^2 = 13 do you follow?

  17. anonymous
    • one year ago
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    yes

  18. FireKat97
    • one year ago
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    okay, so now we can try subbing the points given as options into our equation, to see which coordinates satisfy it.

  19. anonymous
    • one year ago
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    (1,6)

  20. FireKat97
    • one year ago
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    Yup! Thats correct!

  21. anonymous
    • one year ago
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    thankyou!

  22. FireKat97
    • one year ago
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    no problem :)

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