
General and Standard Equation of a Circle
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Select the matching graph.
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the coordinates of the centre and the radius of the circle with equation:
(x - a)2 + (y - b)2 = r2 ?
Centre (a,b)
Radius = r2 units
Centre (-a,-b)
Radius = r units
Centre (a,b)
Radius = r units
Centre (-a,-b)
Radius = r2 units
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)2 + (y - 2)2 = 32 ?
Centre (-1,-2)
Radius = 3 units
Centre (1,2)
Radius = 3 units
Centre (-1,-2)
Radius = 9 units
Centre (1,2)
Radius = 9 units
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?
Centre (4,3)
Radius = 5 units
Centre (4,3)
Radius = 25 units
Centre (-4,-3)
Radius = 25 units
Centre (-4,-3)
Radius = 5 units
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the coordinates of the centre and the radius of the circle with equation:
(x + 2)2 + (y + 5)2 = 16 ?
Centre (2,5)
Radius = 16 units
Centre (2,5)
Radius = 4 units
Centre (-2,-5)
r = 16 units
Centre (-2,-5)
Radius = 4 units
Tags
CCSS.HSG.GPE.A.1
6.
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
7.
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
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