Equations of Circles
Authored by Ciara Redfearn
Mathematics
12th Grade
CCSS covered
Used 12+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the standard form of the equation of a circle?
(x + h)^2 - (y + k)^2 = r^2
(x - h)^2 + (y - k)^2 = r^2
(x - h)^2 - (y - k)^2 = r^2
(x + h)^2 + (y + k)^2 = r^2
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the center and radius of a circle given its equation in standard form?
Complete the square to rewrite the equation in the form (x - h)^2 + (y - k)^2 = r^2
Guess the center and radius based on the coefficients of the equation
Graph the equation and measure the center and radius using a ruler
Use the quadratic formula to solve for the center and radius
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the equation of a circle is given as (x-3)^2 + (y+4)^2 = 25, what is the center and radius of the circle?
(5, -3) and 7
(3, -4) and 5
(0, 0) and 10
(2, 4) and 6
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Write the equation of a circle with center (2, -5) and radius 7.
(x - 2)^2 + (y - 5)^2 = 49
(x - 2)^2 + (y + 5)^2 = 49
(x - 2)^2 + (y + 5)^2 = 64
(x + 2)^2 + (y - 5)^2 = 49
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the equation of a circle with center (0, 0) and radius 6?
x^2 + y^2 = 36
2x + 2y = 36
x^2 + 6y = 0
x^2 - y^2 = 36
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the equation of a circle is given as (x+1)^2 + (y-2)^2 = 36, what is the center and radius of the circle?
(1, -2) and 36
(-1, 2) and 12
(-2, 1) and 6
(-1, 2) and 6
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you write the equation of a circle given its center and radius?
(x + h)^2 + (y + k)^2 = r^2
(x - h)^2 - (y - k)^2 = r^2
(x + h)^2 - (y + k)^2 = r^2
(x - h)^2 + (y - k)^2 = r^2
Tags
CCSS.HSG.GPE.A.1
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