Center of a Circle Open the “Circle: the role of the center” applet. Place the cursor on the center of the circle and hold
the mouse button. Drag the center around the Cartesian
plane and note how the equation of the circle changes.
(a) What is the radius of the circle?
(b) Draw a circle whose center is at (1, 3). What is the equation of the circle?
(c) Draw a circle whose center is at ( −1, 3). What is the equation of the circle?
(d) Draw a circle whose center is at ( −1, −3). What is the equation of the circle?
(e) Draw a circle whose center is at (1, −3). What is the equation of the circle?
(f) Write a few sentences explaining the role the center of the circle plays in the equation of the circle.
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