Center and Radius of Circle from General Form to Standard Form
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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10 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the equation of a circle with radius 2 and center (3, 4)?
(x+3)2 + (y+4)2 = 2
(x-3)2 + (y-4)2 = 2
(x+3)2 + (y+4)2 = 4
(x-3)2 + (y-4)2 = 4
Tags
CCSS.HSG.GPE.A.1
2.
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
3.
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 + 5)2 + (y - 2)2 = 144
(x - 5)2 + (y + 2)2 = 36
(x + 5)2 + (y - 2)2 = 36
(x - 5)2 + (y + 2)2 = 12
Tags
CCSS.HSG.GPE.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The point (3,3) is on a circle whose center is at (-1,3). Write the standard form of the equation of the circle.
(x-3)2+(y-3)2=4
(x-3)2+(y-3)2=16
(x+1)2+(y-3)2=9
(x+1)2+(y-3)2=16
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Convert the to standard form. x2 + y2 + 6x - 10y - 15 = 0
(x + 6)2 + (y - 10)2 = 225
(x + 3)2 + (y - 5)2 = 361
(x + 3)2 + (y - 5)2 = 7
(x + 3)2 + (y - 5)2 = 49
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the center for the circle with this equation x²+y²+4x+6y-36=0?
(4,6))
(2,3)
(-2,-3)
(-4, -6)
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the center of the circle with equation x2 + y2 = 1?
(1, 1)
(0, 0)
(0,1)
not enough information
Tags
CCSS.HSG.GPE.A.1
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