Advanced Geometry
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1
2Advanced Geometry
Name: _____________________________________________________
Topic 11 – Circle Measurements
Circles in the Coordinate Plane (11-4)
Date: __________________________________ Period: ___________
1.
Find the center and radius of each circle. Then graph the circle.
a.
x
+ y
= 36
b.
(x + 1)
+ (y + 6)
= 16
c.
(x + 3)
+ (y – 5)
= 12
2
2
2
2
2
2
C: ( ____ , ____ ) ; r = _______
C: ( ____ , ____ ) ; r = _______
C: ( ____ , ____ ) ; r = _______
2.
Write the standard form equation of each circle.
a.
center (0, 0) ; r = 7
b.
center (–2, –5) ; r =
center (–5, 4) ; r = 1
2
c.
2
Equation:________________________
Equation:________________________
Equation:________________________
3.
Use the graph to find the center and radius of each circle. Then write the standard form
equation of each circle.
a.
b.
c.
C: ( ____ , ____ ) ; r = _______
C: ( ____ , ____ ) ; r = _______
C: ( ____ , ____ ) ; r = _______
Equation:________________________
Equation:________________________
Equation:________________________
4.
Find the circumference and area of the circle whose equation is (x – 5)
+ (y + 4)
= 49.
2
2
Leave your answer in terms of π.
Circumference:_________________
Area:____________________
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