[b][size=150]Displayed is the unit circle.[/size][/b]
A. What is the center of the unit circle?[br]B. What is the length of its radius?[br]C. What are the x-intercepts?[br]D. What are the y-intercepts?[br]E. What is the formula given under the conic section (to the left of the graph) for the unit circle?
[b][size=150]Manipulate the red slider ('r') and observe the results.[/size][/b]
A. What happens to the red circle as the value of 'r' increases and decreases?[br]B. What kind of relationship do they have?
[b][size=150]Adjust slider so that r=1.[/size][/b]
What value does the equation of circle 'c' equal?
[b][size=150]Adjust slider so that r=2.[/size][/b]
What value does the equation of circle 'c' equal?
[b][size=150]Adjust slider so that r=3.[/size][/b]
What value does the equation of circle 'c' equal?
[b][size=150]Adjust slider so that r=4.[/size][/b]
What value does the equation of circle 'c' equal?
[b][size=150]Adjust slider so that r=5.[/size][/b]
What value does the equation of circle 'c' equal?
Use the data from Questions 3-7 to fill in the table below. When you have imputed all of your data, select cells A2-A6 and B2-B6. Then click on 'Polyline' (under the {1,2} tab).
Notice how the graph plotted looks similar to a graph we have seen before. Which function does it resemble?
What relationship do the values in the 'r' column have to the [math]x^2+y^2[/math] column?
Based on the pattern you found in table, what is the general form for the formula of a circle with the center at A = (0,0)?
[size=150][size=200][b]Once you have answered all the questions in Part 2, you may move on to Part 3.[/b][/size][/size]