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Circle Equations (Converting Forms)

Authored by Lindsey Weinand

Mathematics

10th Grade

CCSS covered

Used 784+ times

Circle Equations (Converting Forms)
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14 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the equation of a circle with center (5,-3) and radius of 9

x2+y2-10x+6y-47=4
x2+y2-10x-6y-47=0
2x2+y2+10x+6y-47=0
x2+y2-10x+6y-47=0

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the equation of the circle in standard form: x+ y+ 6x - 12y + 20 = 0

(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

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the center and radius:
x+ y- 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

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the center and radius: x+ y+ 14x - 2y = -1

center= (-7,2) radius= 3
center= (-7,1) radius= 7
center= (-4,1) radius= 5

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the radius of the given circle:
 x²+y²-10x+8y-23=0?

4
2
8

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Write the equation of the circle in general form.

A

B

C

D

Tags

CCSS.HSG.GPE.A.1

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