Standard Form of a Circle and Center
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 are the coordinates of the center and the radius of the circle with equation (x - 4)2 + (y - 3)2 = 25 ?
Center (4, 3)
Radius = 5 units
Center (4, 3)
Radius = 25 units
Center (-4, -3)
Radius = 25 units
Center (-4, -3)
Radius = 5 units
Tags
CCSS.HSG.GPE.A.1
2.
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
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?
4
8
4√2
2√2
Tags
CCSS.HSG.GPE.A.1
4.
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
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A circle has the equation x2 + y2 + 8x - 20 = 0. Write the equation in standard form.
(x + 4)2 + y2 = 6
(x + 4)2 + y2 = 36
(x - 4)2 + y2 = 6
(x - 4)2 + y2 = 36
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
A circle has the equation x2 + y2 - 6y - 5 = 0. Write the equation in standard form.
x2 + (y + 3)2 = 7
x2 + (y - 3)2 = 7
x2 + (y + 3)2 = 14
x2 + (y - 3)2 = 14
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Write the equation of the circle with center C( -5 , 8 ) and radius = 7
( x - 5 )2 + ( y + 8 )2 = 14
( x - 5 )2 + ( y - 8 )2 = 49
( x - 5 )2 + ( y + 8 )2 = 49
( x + 5 )2 + ( y - 8 )2 = 49
Tags
CCSS.HSG.GPE.A.1
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