Equations Of Circles Worksheet - Chapter 10-8 Page 4
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1
2
3
4
5
6Application
WEATHER
9.
Meteorologists track severe storms
using Doppler radar. A polar grid is used to
measure distances as the storms progress. If the
center of the radar screen is the origin and each
ring is 10 miles farther from the center, what is
the equation of the fourth ring?
Practice and Apply
Practice and Apply
Write an equation for each circle.
10. center at origin, r
3
11. center at ( 2,
8), r
5
For
See
Exercises
Examples
12. center at (1,
4), r
17
13. center at (0, 0), d
12
10–17
1
14. center at (5, 10), r
7
15. center at (0, 5), d
20
18–23
2
24–29
3
16. center at ( 8, 8), d
16
17. center at ( 3,
10), d
24
30–31
4
18. a circle with center at ( 3, 6) and a radius with endpoint at (0, 6)
Extra Practice
Extra Practice
See page 776.
19. a circle with a diameter that has endpoints at (2,
2) and ( 2, 2)
See page 776.
20. a circle with a diameter that has endpoints at ( 7,
2) and ( 15, 6)
21. a circle with center at ( 2, 1) and a radius with endpoint at (1, 0)
22. a circle with d
12 and a center translated 18 units left and 7 units down from
the origin
23. a circle with its center in quadrant I, radius of 5 units, and tangents x
2
and y
3
Graph each equation.
2
2
2
2
24. x
y
25
25. x
y
36
2
2
2
2
26. x
y
27. x
y
1
0
49
0
2
2
2
2
28. (x
2)
(y
1)
4
29. (x
1)
(y
2)
9
Write an equation of the circle containing each set of points. Copy and complete
the graph of the circle.
30.
31.
y
y
C
( 3, 3 )
B
( 4, 2 )
A
( 0, 2 )
( 0, 0 )
B
O
O
x
x
C
( 2, 0 )
A
( 6, 0 )
2
2
2
32. Find the radius of a circle with equation (x
2)
(y
2)
r
that contains
the point at (2, 5).
2
2
2
33. Find the radius of a circle with equation (x
5)
(y
3)
r
that contains
the point at (5, 1).
COORDINATE GEOMETRY
34.
Refer to the Examine part of Example 4. Verify the
coordinates of the center by solving a system of equations that represent the
perpendicular bisectors.
578 Chapter 10 Circles
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