Convert Circle Equations into Center Radius Form

Quiz
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
Anthony Clark
FREE Resource
20 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the center and radius of the circle: (x+2)2 + (y-4)2 =16
center: (-2, 4); r = 4
center: (2, -4); r = 4
center: (-2, -4); r = 8
center: (-2, 4); r = 16
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
In order to convert from general form to center-radius form, you must ___________.
Multiply out
expand
factor
complete the square
Tags
CCSS.HSG.GPE.A.1
3.
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
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the center and radius: x2 + y2 + 14x - 2y = -1
center= (-7,2) radius= 3
center= (-7,1) radius= 7
center= (-4,1) radius= 5
Tags
CCSS.HSG.GPE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the center and radius for a circle with the equation:
(x-4)2+(y+2)2=25
C:(4, -2), r=5
C:(-4, 2), r=5
C:(4, -2), r=25
C:(-4, 2), r=25
Tags
CCSS.HSG.GPE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Determine the center and radius:
x2 + y2 - 10x + 8y -8 = 0
C = (5,-4) r = 7
C = (-5,4) r = 7
C = (-4,5) r = 49
C = (5,-4) r = 49
Tags
CCSS.HSG.GPE.A.1
7.
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
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