
Geometry of Circles: Equations from Center and Points

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

Emma Peterson
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the components needed to write the equation of a circle?
Circumference and area
Radius and diameter
Center and a point on the circle
Pi and radius
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the 'h' and 'k' represent in the circle's equation?
Coordinates of the circle's center
Slope and intercept
Coordinates of a point on the circle
Radius and diameter
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the equation of a circle given its center and a point on it?
Calculate the diameter
Identify the center and the point
Find the circumference
Determine the radius squared
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the radius squared in the equation of a circle?
Use the distance formula between the center and a point on the circle
Subtract the center from the given point
Multiply the coordinates of the center
Add the center to the given point
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the center of a circle is (-2, -1) and a point on the circle is (4, 1), what is R squared?
36
40
38
42
Tags
CCSS.HSG.GPE.A.1
6.
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
(x + h)^2 + (y + k)^2 = r
x^2 + y^2 = d^2
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you transform the equation when the center has negative coordinates?
Add the coordinates directly
Change subtraction to addition for negative values
Subtract the absolute values of the coordinates
Multiply the coordinates by -1
Tags
CCSS.HSG.CO.A.2
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