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elizabethann509 Group Title

I don't understand the equation for a circle. (x - h)2 + (y - k)2 = r2 Can someone please explain it to me?

  • 2 years ago
  • 2 years ago

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  1. nbouscal Group Title
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    (h,k) represents the center, and r represents the radius. To help your understanding, try coming up with a few simple circles and graphing them.

    • 2 years ago
  2. elizabethann509 Group Title
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    I don't understand how to solve the equation when the numbers are put in

    • 2 years ago
  3. elizabethann509 Group Title
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    For example, something like this: (x - 3)2 + (y - 7)2 = 25

    • 2 years ago
  4. Calcmathlete Group Title
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    Basically, think of it like this. (h, k) is the center right? Since it says - h and - k in the circle equation, just bypass it and reverse the sign when putting it in or taking it out of the equation. Example: (x - 9)^2 + (y + 4)^2 = 9 The center is (9, -4) and the radius is 3. Just reverse the sign.

    • 2 years ago
  5. nbouscal Group Title
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    This is the general equation for a circle, it isn't a specific circle. For a specific circle, the h, k, and r will all be defined. So you'll have, for example, \((x-1)^2+(y-2)^2=5^2.\) This would be a circle centered around (1,2) with radius 5. That just means that any x and y that make the equation true are on the circle.

    • 2 years ago
  6. Calcmathlete Group Title
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    See how the signs are opposites?

    • 2 years ago
  7. elizabethann509 Group Title
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    yeah that makes sense.

    • 2 years ago
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