The Equation of a Circle
Today you will be exploring the formula for the equation of the cricle. Complete the tasks using the geogebra applet below to answer the questions. |
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Answer these questions. 1. What does the variable "r" represent? As "r" changes what happens to the graph? How is segment AC related to "r"? 2. Unhide your H value. How does your graph change as you change "h" (be specific)? 3. Unhide the K value. Hoe does your graph change as you change "k" (be specific)? 4. If you have a circle with a radius of 2 and a center of (-4,5) what is the equation of the line? 5. Where is the center of the circle when the equation is (x-3)² + (y-2)² = 1? What is the radius of this circle? 6. As you move point A around the circle does the segment AC stay the same length? Verify this with the distance formula for several points that are not on the x-axis or the y-axis. 7. If you have a circle with a radius of 2 and a center of (-4,5) what is the equation of the line? |