
Understanding the Equation of a Circle

Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned

Jackson Turner
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What condition must be met for an equation to represent a circle in its general form?
The equation must have no constant term.
The coefficients of x and y must be equal.
The equation must be linear.
The coefficients of x^2 and y^2 must be equal.
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in converting the general form of a circle's equation to standard form?
Add a constant to both sides.
Divide each term by the coefficient of the squared terms.
Subtract the constant term from both sides.
Multiply both sides by 3.
Tags
CCSS.HSA-REI.B.4B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When completing the square for the x term, what constant is added to make it a perfect square trinomial?
4/9
4/3
1/2
2/3
Tags
CCSS.HSA-REI.B.4B
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the constant to add when completing the square for the y term?
Square the coefficient of y.
Divide the coefficient of y by 2 and square it.
Multiply the coefficient of y by 2.
Add the coefficient of y directly.
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the standard form of the circle's equation derived in the video?
(x - 2/3)^2 + (y + 1)^2 = 25/9
(x - 1)^2 + (y + 2/3)^2 = 25/9
(x + 2/3)^2 + (y - 1)^2 = 25/9
(x + 1)^2 + (y - 2/3)^2 = 25/9
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the coordinates of the center of the circle in the standard form equation?
(-1, 2/3)
(2/3, -1)
(-2/3, 1)
(1, -2/3)
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the circle in the standard form equation?
5/3
3/5
1/3
2/3
Tags
CCSS.HSG.GPE.A.1
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