Equations of a Circle Find Center and Radius
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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13 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of the circle?
(x+1)2 + (y +1)2 = 3
(x+1)2 + (y -1)2 = 3
(x+1)2 + (y +1)2 = 9
(x-1)2 + (y -1)2 = 9
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.
(x - 2)2 + (y + 5)2 = 36
(x - 5)2 + (y + 2)2 = 6
(x + 5)2 + (y - 2)2 = 36
(x + 2)2 + (y - 5)2 = 6
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 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
4.
MULTIPLE CHOICE QUESTION
1 min • 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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Change the following equation to standard form x² + y² - 4x + 12y - 8 = 0
(x + 2)² + (y - 6)² = 48
(x - 2)² + (y + 6)² = 48
(x - 6)² + (y - 2)² = 48
(x + 2)² + (y - 6)² = 48
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 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
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0
(x + 2)2 + (y + 3)2 = 49
(x + 2)2 + (y + 3)2 = 13
(x - 2)2 + (y - 3)2 = 49
(x - 2)2 + (y - 3)2 = 13
Tags
CCSS.HSG.GPE.A.1
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