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Equation of Circle Review

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Equation of Circle Review
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15 questions

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1.

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

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.

(x - 5)2 + (y + 2)2 = 9

(x + 5)2 + (y - 2)2 = 3

(x + 5)2 + (y - 2)2 = 9

(x - 5)2 + (y + 2)2 = 3

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Select the matching graph.

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSG.GPE.A.1

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following equations of circles in standard form with center at (-3, 4) and a radius of 5 units?

x2 - y2 = 25

x2 + y2 = 25

(x - 3)2 + (y + 4)2 = 25

(x + 3)2 + (y - 4)2 = 25

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Select the equation of a circle that has a diameter of 12.

(x-6)2+(y+6)2=12

(x-12)2+(y-2)2=6

(x+1)2+(y-12)2=144

(x-4)2+(y-1)2=36

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following equations of circles in standard form with center at (-5, -8) and a radius of 6 units?

(x - 5)2 - (y - 8)2 = 36

(x + 5)2 - (y + 8)2 = 36

(x + 5)2 - (y + 8)2 = 36

(x + 5)2 + (y + 8)2 = 36

Tags

CCSS.HSG.GPE.A.1

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