
Circle Equations and Properties

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of the video tutorial?
Understanding ellipses in the coordinate plane
Learning about circles in the coordinate plane
Graphing parabolas
Solving linear equations
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of a circle centered at the origin with a radius of 4?
x^2 + y^2 = 12
x^2 + y^2 = 8
x^2 + y^2 = 16
x^2 + y^2 = 4
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why does the equation x^2 + y^2 = r^2 represent a circle centered at the origin?
Because it uses the Pythagorean theorem
Because it is a linear equation
Because it represents a parabola
Because it is a quadratic equation
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation (x - h)^2 + (y - k)^2 = r^2, what do h and k represent?
The diameter of the circle
The slope of the circle
The coordinates of the center of the circle
The radius of the circle
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of the equation of a circle not centered at the origin?
(x + h)^2 + (y + k)^2 = r^2
(x - h)^2 + (y - k)^2 = r^2
(x - h)^2 + (y + k)^2 = r^2
(x + h)^2 + (y - k)^2 = r^2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the center of a circle from the equation (x - 1)^2 + (y + 3)^2 = 9?
(1, 3)
(-1, -3)
(1, -3)
(-1, 3)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the circle given by the equation (x - 1)^2 + (y + 3)^2 = 9?
5
4
3
2
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