Investigating Geometry: Selected Topics

Henrico County Public Schools

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August 2010

Lesson 10-4: Circles

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Objective:

SOL G.12: The student, given the coordinates of the center of a circle and a point on the circle, will write the equation of the circle.

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  1. Look at the graphed function. Move the blue point h on the slider. How does the circle move? What changes in the function?
  2. Reset the diagram. Move the green point k on the slider. How does the circle move? What changes in the function?
  3. Reset the diagram. Move the red point r on the slider. How does the circle change? What changes in the function?
  4. Create a circle with a radius of 3 and its center is at (2,−3). What is the equation of this circle?