Equations of Circles

Equations of Circles

10th Grade

20 Qs

quiz-placeholder

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Equations of Circles

Equations of Circles

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Anthony Clark

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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A circle has the equation x2 + y2 - 12x + 8y + 3 = 0. Write the equation in standard form.

(x - 6)2 + (y + 4)2 = 49

(x + 4)2 + (y - 6)2 = 49

(x - 6)2 + (y + 4)2 = 55

x2 + y2 = 55

Tags

CCSS.HSG.GPE.A.1

2.

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, -7)

(-2, -3)

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Convert the equation of the circle from general to standard form.

A

B

C

D

Tags

CCSS.HSG.GPE.A.1

4.

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

5.

DROPDOWN QUESTION

1 min • 1 pt

Media Image

​ (a)   ​ is the ​radius

​ (b)   ​ is x-coordinate of the center

​ (c)   ​ ​ is the y-coordinate of the center

r

k

h

x

y

Tags

CCSS.HSG.GPE.A.1

6.

DRAG AND DROP QUESTION

1 min • 1 pt

Write the standard equation of the circles for the following centers and radii: a. Center (0, 0), r = 2.5 ​ + ​ = ​

6.25

2.5

5

Tags

CCSS.HSG.GPE.A.1

7.

DRAG AND DROP QUESTION

1 min • 1 pt

Tags

CCSS.HSG.GPE.A.1

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