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Equations of a Circle Given Points

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Equations of a Circle Given Points
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the equation (x-3)2+(y-2)2=16, the center of the circle is...

(3,2)

(-3, -2)

(-2, -3)

(2, 3)

Tags

CCSS.HSG.GPE.A.1

2.

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

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the circle, with center (4,2) and radius 5 units?

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

(x + 4)2 + (y + 2)2 = 5

(x - 4)2 + (y - 2)2 = 5

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

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the center and

the radius of this circle?

Center: (12, 8)

Radius = 5 units

Center: (-12 ,8)

Radius = 25 units

Center: (-12,-8)

Radius = 5 units

Center: (12, 8)

Radius = 25 units

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the equation for a circle, (x-h)2+(y-k)2= r2, what part of the circle do the h, k and r represent?

r is the hypotenuse, h and k are points on the circle

r is the radius, h and k are points on the circle

r is the roundness, h and k represent the center

r is the radius, h and k represent the center

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the center of this circle?

(2, 4)

(-2, 4)

(2, - 4)

(-2, - 4)

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Point B is located on circle A, as shown below. Determine the equation of circle A.

Tags

CCSS.HSG.GPE.A.1

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