Exploring the Equation of a Circle
Interactive Video
•
Mathematics
•
6th - 10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Liam Anderson
FREE Resource
Standards-aligned
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the standard form equation of a circle?
(x - a)^2 + (y - b)^2 = r^2
x^2 + y^2 + r^2 = 0
x^2 + y^2 = r^2
(x + a)^2 + (y + b)^2 = r
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the center of a circle from its equation in standard form?
Multiply a and b by 2
The coefficients of x and y
(a, b) from (x - a)^2 + (y - b)^2 = r^2
Square root of r
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the equation (x - a)^2 + (y - b)^2 = r^2, what does 'r' represent?
Diameter of the circle
Circumference of the circle
Area of the circle
Radius of the circle
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of a circle with the equation (x - 3)^2 + (y + 4)^2 = 25?
5
-4
25
3
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you convert a circle's equation to standard form?
By completing the square
Subtracting the center from both sides
Multiplying each term by 2
Adding r to both sides
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the center of a circle with the equation x^2 + 2x + y^2 - 6y + 6 = 16?
(1, -3)
(-1, 3)
(2, -6)
(-2, 6)
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a step in converting a non-standard form circle equation to standard form?
Factoring out the greatest common factor
Completing the square for both x and y terms
Dividing each term by the coefficient of x^2
Multiplying each term by the radius
Tags
CCSS.HSG.GPE.A.1
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