Math Worksheet

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Honors Math 2
Name: _______________________
Circles
Reminder: The standard form of equation for a circle with center (ℎ, ��) and radius �� is
!
!
!
�� − ℎ
+ �� − ��
= ��
(You should be able to derive this equation using the distance
formula). This is sometimes written in the form:
!
!
!!!
!!!
+
=1
!
!
!
!
Classwork
1. Write the standard equation for
2
2
+ 4 x − 6y − 3 = 0 . State the coordinates of
x
+ y
the center, give its radius, and sketch a graph.
2. Determine whether A(2, 1) is inside, outside, or on the circle centered at (-2, 3)
whose radius is 4. Explain.

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