Exploring Equations of Circles
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Emma Peterson
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What theorem is the equation of a circle closely related to?
Pythagorean theorem
Binomial theorem
Central limit theorem
Fundamental theorem of algebra
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used as a basis for deriving the standard form of a circle's equation?
Area formula
Distance formula
Slope formula
Quadratic formula
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the standard form of a circle's equation, what does 'r' represent?
Diameter of the circle
Area of the circle
Circumference of the circle
Radius of the circle
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the variable 'h' represent in the standard form of a circle's equation?
The circle's radius
The y-coordinate of the circle's center
The x-coordinate of the circle's center
The circle's diameter
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of completing the square in the context of transforming the general form of a circle's equation to its standard form?
To find the circle's diameter
To isolate the variable x
To simplify the equation
To derive the center coordinates
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What transformation is applied to the general form of a circle's equation to convert it to standard form?
Integrating
Differentiating
Completing the square
Factoring
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the x-intercepts of a circle from its equation in standard form?
Set y to zero and solve for x
Set x to zero and solve for y
Multiply the equation by x
None of the above
Tags
CCSS.HSG.GPE.A.1
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