ckenn
  • ckenn
How do you derive the equation of a circle?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Michele_Laino
  • Michele_Laino
please you have to start from the definition of a circle: " A circle is a curve wherein the distance between each point, which belong to such circle, and another point, which is the centre of such circle, is equal to the radius of such circle"
welshfella
  • welshfella
draw a circle on a graph with known center (not the origon) and known radius Then take any point on the graph (x,y). Use cordinate geometry and pythagoras theorem to find a relation between x and y .
Michele_Laino
  • Michele_Laino
now we can implement such definition, using the cartesian coordinates, and the euclidean distance between two points, like below: \[\Large \sqrt {{{\left( {x - {x_0}} \right)}^2} + {{\left( {y - {y_0}} \right)}^2}} = r\] |dw:1449335591460:dw|

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ckenn
  • ckenn
thank you both (: this is a great explanation
Michele_Laino
  • Michele_Laino
:)
welshfella
  • welshfella
yw

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