Find the Equation of the Circle
10th Grade
•15 Qs
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Find the Equation of the Circle
Quiz
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What does (h,k) standard for in the standard circle equation?
(h,k) is the center of the circle
(h,k) is a point on the circle.
(h,k) is the radius of the circle
(h,k) is the diameter of the circle
Tags
CCSS.HSG.GPE.A.1
2.
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
3.
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
4.
MULTIPLE CHOICE QUESTION
1 min • 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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Convert the equation of the circle from general to standard form.
A
B
C
D
Tags
CCSS.HSG.GPE.A.1
6.
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
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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