Unit 6 Circle Equations Worksheet
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1
2Math 3: Unit 6 Circle Equations Worksheet
Name ___________________ Block: ____
2
Note: If r
is not a perfect square then leave r in simplified radical form, but use the decimal equivalent for
=
=
graphing. Example:
12
2
3
. 3
46
1) Graph the following circle:
2
2
2
2
2
2
a. (x - 3)
+ (y + 1)
= 4
b. (x – 2)
+ (y – 5)
= 9
c.
(y + 4)
+ (x + 2)
= 16
2) For each circle: Identify its center and radius.
2
2
2
2
2
2
(x + 3)
+ (y – 1)
= 4
x
+ (y – 3)
= 18
(y + 8)
+ (x + 2)
= 72
a.
b.
c.
Center:_____________
Center:___________
Center:_____________
Radius:_____________
Radius:____________
Radius:_____________
3) Write the equation of the following circles:
4) Give the equation of the circle that is tangent to the y-axis and center is (-3, 2).
5) Compare and contrast the following pairs of circles (what’s similar vs. what’s different?):
2
2
2
2
a. Circle #1: (x - 3)
+ (y +1)
= 25
b. Circle #1: (y + 4)
+ (x + 7)
= 6
2
2
2
2
Circle #2: (x + 1)
+ (y - 2)
= 25
Circle #2: (x + 7)
+ (y + 4)
= 36
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