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# test- Investigating the Equation of a Circle

Drag the center of the circle and the radius of the circle to answer the questions below.
1) Drag point B to change the radius to 2, 3, 6, 10. How does this change the equation of the circle? 2) Using a radius of 3, drag point A to change the center of the circle to (5, 3) , then change it to (-5, 3). How does this change the equation of the circle? 3) Using a radius of 3, drag point A to change the center of the circle to (2, 6) , then change it to (2, -6). How does this change the equation of the circle? 4) Using a radius of 3, drag point A to change the center of the circle to (4, 0), then change it to (0, 4). How does this change the equation of the circle? 5)Write the equation of a circle with a center of (-2, 1) and a radius of 7. Check your answer by graphing the circle. 6) Write the equation of a circle with a center (0, 0) and a radius of 9. Check your answer by graphing. 7) Write the equation of a circle with a center (h, k) and a radius of r .