Derive the Equation of a Circle
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the radius in terms of diameter endpoints
(
x
1
,
y
1
)
(x_1,y_1)
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
(x_2,y_2)
(
x
2
,
y
2
)
?
QUESTION
What is the completed-square form of
y
2
+
E
y
y^2+Ey
y
2
+
E
y
?
QUESTION
What is the completed-square form of
x
2
+
D
x
x^2+Dx
x
2
+
D
x
?
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ANSWER
(
x
+
D
2
)
2
−
(
D
2
)
2
\left(x+\frac{D}{2}\right)^2-\left(\frac{D}{2}\right)^2
(
x
+
2
D
)
2
−
(
2
D
)
2
. Perfect square trinomial minus the added constant.
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