Equations of Circles in the Coordinate Plane
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
Used 1+ times
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12 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 2 pts
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
2.
MATCH QUESTION
1 min • 5 pts
Match each equation to its description.
Circle centered at (1, -4) and radius 3
(x – 1)² + y² = 9
Circle centered at (1, -4) and radius √3
(x – 1)² + (y + 4)² = 3
Circle centered at (1, 0) and radius 3
(x – 1)² + (y + 4)² = 9
Circle centered at (0, -4) and radius 3
x² + (y + 4)² = 9
Circle centered at (1, 4) and radius √3
(x – 1)² + (y – 4)² = 3
Tags
CCSS.HSG.GPE.A.1
3.
DRAW QUESTION
1 min • 2 pts
Plot the circles x² + y² = 4 and x² + y² = 1 on the same coordinate plane.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which equation of a circle is centered at (-3, 2) and has a radius of 5?
(x + 3)2 + (y - 2)2 = 25
(x - 3)2 + (y + 2)2 = 5
(x + 3)2 + (y - 2)2 = 5
(x - 3)2 + (y + 2)2 = 25
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In the equation (x-4)2+(y-3)2=25, the radius is
4
3
5
25
Tags
CCSS.HSG.GPE.A.1
6.
MATH RESPONSE QUESTION
1 min • 1 pt
Mathematical Equivalence
ON
Tags
CCSS.HSG.GPE.A.1
7.
MATH RESPONSE QUESTION
1 min • 1 pt
Determine the equation of the circle with :
center (−6 , −2 ) containing the point ( 3, −6 ).
Mathematical Equivalence
ON
Tags
CCSS.HSG.GPE.A.1
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