Equations of Circles and Completing the Square
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Liam Anderson
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coordinates of the center of a circle in the equation (x - h)^2 + (y - k)^2 = r^2?
(0, 0)
(r, r)
(-h, -k)
(h, k)
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the center of a circle given its equation in standard form?
By calculating the diameter
By identifying the h and k values
By determining the area
By finding the slope
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the standard form equation of a circle?
(x - h)^2 + (y - k)^2 = r^2
x^2 + y^2 = r^2
(h - x)^2 + (k - y)^2 = r^2
xh^2 + yk^2 = r
Tags
CCSS.7.G.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the diameter of a circle is 8 units, what is its radius?
4 units
16 units
8 units
2 units
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a circle's equation is x^2 + y^2 = 64, what is the radius of the circle?
32
64
16
8
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the equation x^2 + y^2 = r^2 indicate about the circle's center?
The center is at (r, r)
The center is at (0, 0)
The center is undefined
The center is at (1, 1)
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the radius equal if the equation of a circle is x^2 + y^2 = 81?
9
40.5
81
18
Tags
CCSS.HSG.GPE.A.1
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