Equations Of Circles

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Math 3 – 6.1 WS: Equations of Circles
Name: __________________________________
I. For each problem below, do the following:
a.) Put the circle’s equation in standard form using completing the square.
b.) Complete the blank information about the circle and accurately sketch the graph.
Given Equation and Blank Info
Work to Put in Standard Form
Graph of Circle
2
2
1.)
2
4
11
0
+
+
+
=
x
y
x
y
a.) center: ______________
b.) radius: _____________
c.) endpoints:
_________
__________
_________
__________
2
2
2.)
8
6
21
0
+
+
+
=
x
y
x
y
a.) center: ______________
b.) radius: _____________
c.) endpoints:
_________
__________
_________
__________
2
2
3.)
2
4
17
0
+
=
x
y
x
y
a.) center: ______________
b.) radius: _____________
c.) endpoints:
_________
__________
_________
__________
2
2
4.)
4
4
32
28
77
0
+
+
+
=
x
y
x
y
a.) center: ______________
b.) radius: _____________
c.) endpoints:
_________
__________
_________
__________

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