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LB Circle Equation: Center (0,0)- Position of a point

For the questions below, be sure to zoom out if you need to!

1.

Suppose P(x,y) = any point that lies on a circle with center (0,0) and radius 5. Use what you've observed to write an equation that expresses the relationship among x, y, and r.

Position of a point in relation to the circle.

Is the point (4,-3) inside, outside or on this circle?

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  • A
  • B
  • C
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Position of a point shown Algebraically.

How can this be shown using the equation of the circle in part one?

Position of a point

Is the point (5.6) inside, outside or on the circle centred at (0,0) with radius 5?

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  • A
  • B
  • C
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Investigate if using the equation of the circle supports what you are seeing in the diagram.

How would you use the equation of the circle to determine the position of a point?