Equations of Circles Using Completing the Square

Equations of Circles Using Completing the Square

9th Grade

13 Qs

quiz-placeholder

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Equations of Circles Using Completing the Square

Equations of Circles Using Completing the Square

Assessment

Quiz

Mathematics

9th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1, HSA-REI.B.4B

Standards-aligned

Created by

Anthony Clark

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 2 pts

Media Image

Using the general form of a circle given, determine the center and radius of that circle. Round to the nearest tenth if necessary.

Center: (-10,-4)

Radius: 8

Center: (-4,-10)

Radius: 64

Center: (10,4)

Radius: 8

Center: (4,10)

Radius: 64

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the equation of the circle from the graph below

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 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

5.

MULTIPLE CHOICE QUESTION

1 min • 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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Change the following equation to standard form
x2+y2-4x+12y-8=0

(x+2)2+(y-6)2=48

(x-2)2+(y+6)2=48

(x-6)2+(y-2)2=48

(x+2)2+(y-6)2=48

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

(-2,5)

(2,7)

(-2,-3)

Tags

CCSS.HSG.GPE.A.1

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