Equations of Circles
Authored by TRENT POPE
Mathematics
9th - 10th Grade
CCSS covered
Used 98+ times
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10 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.
(x - 6)2 + (y + 4)2 = 49
(x + 4)2 + (y - 6)2 = 49
(x - 6)2 + (y + 4)2 = 55
x2 + y2 = 55
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.
(x - 3)2 + (y + 6)2 = 25
(x + 3)2 + (y - 6)2 = 25
(x - 3)2 + (y + 6)2 = 45
(x + 3)2 + (y - 6)2 = 5
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.
(x - 5)2 + (y + 2)2 = 9
(x + 5)2 + (y - 2)2 = 3
(x + 5)2 + (y - 2)2 = 9
(x - 5)2 + (y + 2)2 = 3
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Find the center and radius of the circle: x2 + y2 + 14x - 2y = -1.
center = (-7, 2) radius = 3
center = (-7, 1) radius = 7
center = (-4, 1) radius = 7
center = (-4, 2) radius = 3
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Determine the center and radius:
x2 + y2 - 10x + 8y -8 = 0
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the center for the circle with this equation x² + y² + 4x + 6y - 36 = 0?
(-2, 5)
(2, 7)
(-2, -7)
(-2, -3)
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What is the radius of the circle with this equation x² + y² - 10x + 8y - 23 = 0?
4
2
8
23
Tags
CCSS.HSG.GPE.A.1
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