Circles in General Form

Name:

Class:

Date:

Show your work for each problem.

1.
Which equation is in general form?
1. a)
2. b)
3. c)
4. d)
2.
For the equation , what is the value of ?
3.
What is the center of a circle with equation ?
1. a)
2. b)
3. c)
4. d)
4.
For the equation , what is ?
5.
Convert to standard form.
6.
Find the radius of the circle .
7.
What is the standard form of ?
1. a)
2. b)
3. c)
4. d)
8.
Find the center and radius of .
9.
A circle has center and radius . What is the value of in general form?
10.
Does represent a real circle?
1. a)No, it represents no real circle
2. b)No, it represents a point
3. c)Yes, with radius 5
4. d)Yes, with radius 3
11.
Convert to standard form and determine if the point is inside, on, or outside the circle.
12.
Two circles have equations and . What is the difference in their radii?
13.
What is the equation of a circle passing through the origin with center ?
1. a)
2. b)
3. c)
4. d)
14.
Find the equation in general form of a circle with center that passes through point .
15.
What does represent when we expand standard form to general form?
1. a)
2. b)
3. c)
4. d)
16.
The equation represents a circle. If , , and the circle passes through the origin, what is ?