

Understanding Equations of Circles
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Jennifer Brown
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of a circle centered at the origin with radius R?
x^2 + y^2 = R^2
x^2 + y^2 = 2R^2
x^2 + y^2 = R
x^2 + y^2 = 2R
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the equation of a circle change when the center is at (h, k)?
(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
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a circle has a center at (3, -2) and a point on the circle at (6, 2), what is the radius?
6
3
4
5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given the equation (x + 2)^2 + (y - 3)^2 = 16, what is the center of the circle?
(-2, 3)
(2, -3)
(-2, -3)
(2, 3)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of a circle with the equation (x - 4)^2 + (y + 5)^2 = 49?
7
5
6
8
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the radius from the equation (x - h)^2 + (y - k)^2 = R^2?
Square R^2
Halve R^2
Take the square root of R^2
Double R^2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the center of a circle is at (-3, 4) and the radius is 5, what is the equation of the circle?
(x + 3)^2 + (y + 4)^2 = 25
(x - 3)^2 + (y + 4)^2 = 25
(x - 3)^2 + (y - 4)^2 = 25
(x + 3)^2 + (y - 4)^2 = 25
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