Derive the Equation of a Circle
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
What is the center of the circle
x
2
+
y
2
−
2
x
+
14
y
+
33
=
0
x^2+y^2-2x+14y+33=0
x
2
+
y
2
−
2
x
+
14
y
+
33
=
0
?
QUESTION
What is the radius of a circle with center
(
1
,
−
2
)
(1,-2)
(
1
,
−
2
)
passing through
(
4
,
2
)
(4,2)
(
4
,
2
)
?
QUESTION
What is the general form after expanding
(
x
−
2
)
2
+
(
y
+
3
)
2
=
16
(x-2)^2+(y+3)^2=16
(
x
−
2
)
2
+
(
y
+
3
)
2
=
16
?
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ANSWER
x
2
+
y
2
−
4
x
+
6
y
−
3
=
0
x^2+y^2-4x+6y-3=0
x
2
+
y
2
−
4
x
+
6
y
−
3
=
0
. Expand and rearrange to general form.
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