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Equations for Circles

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Equations for Circles
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the equation for this circle?

(x+1)+(y+1)=9

x²+y²=9

x+y=9

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of a circle with radius 4 and center (0, 8)?

x2 + (y-8)2 = 16

(x-8)2 + y2 = 4

x2 + (y-8)2 = 4

x2 + (y+8)2 = 16

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What are the coordinates of the center and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?

Center (4,3)
Radius = 5 units

Center (4,3)
Radius = 25 units

Center (-4,-3)
Radius = 25 units

Center (-4,-3)
Radius = 5 units

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the center and radius of a circle with the equation, (x-1)2 + (y-3)2 = 4

Center is (1,3) and radius is 2

Center is (3,1) and radius is 2

Center is (3,2) and radius is 1

Center is (2,3) and radius is 1

Tags

CCSS.HSG.GPE.A.1

5.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

What is the equation of the circle shown in the graph?

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

6.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

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

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

7.

MATH RESPONSE QUESTION

1 min • 1 pt

Media Image

The circle that has a center of (-3, 4) and is tangent to the y-axis is graphed in the standard (x, y) coordinate plane. Write the equation of the circle.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.A.1

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