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General Equation of a Circle

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

General Equation of a Circle
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the equation of the circle in standard form: x2 + y2 + 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

2.

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

3.

MULTIPLE CHOICE QUESTION

1 min • 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

4.

MATCH QUESTION

1 min • 5 pts

Media Image

The questions that follow relate to the diagram shown here.

If the center of a circle is (-3, 5) and the radius is 3, what is the equation of the circle?

(x+3)2+ (x−5)2=9\left(x+3\right)^2+\ \left(x-5\right)^2=9

radius of a circle

Media Image

center of a circle

r

Equation of a circle

Media Image

Tags

CCSS.HSG.GPE.A.1

5.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

What is the equation of the circle? Enter your equation in the response box.

(x+1)2+(y+1)2=9\left(x+1\right)^2+\left(y+1\right)^2=9

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

6.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

What is the equation of this circle?

(x−2)2+y2=9\left(x-2\right)^2+y^2=9

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

7.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

What is the equation of the circle? Enter your equation in the response box.

(x+1)2+(y+1)2=9\left(x+1\right)^2+\left(y+1\right)^2=9

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

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