Unit 6 Circle Equations Worksheet Page 2

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6) Write in the general form, then state the center & radius of the following circle:
2
2
x
+ y
– 4x + 8y – 5 = 0
Center:___________
Radius:______________
7) Graph the following circles (hint: write in general form first!):
2
2
2
2
x
– 2x + y
+ 8y – 8 = 0
x
+ y
– 6x + 4y – 3 = 0
a)
b)
** hint: sketching a picture for each of the following may help you visualize!!
8) Write the equation of the circle whose center is
9) Write the equation of the circle whose
at (5,-3) and goes through the point (2,5)
diameter has endpoints at (-4,1) and (4, -5)
10) Give the equation of the circle with a center in
11) Give the equation of a circle that is tangent to
Quadrant II that is tangent to both the x- & y-axis
the lines x= - 1, x= 5, and y = 2 with a center in
with a radius of 4
Quadrant IV

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