Circle Equations

Circle Equations

9th - 10th Grade

10 Qs

quiz-placeholder

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Circle Equations

Circle Equations

Assessment

Quiz

Mathematics

9th - 10th Grade

Practice Problem

Medium

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Zack Arenstein

Used 32+ times

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation of a circle with center (7, 0) with radius 3.

(x - 7)2 + y2 = 9
x2 + (y -7)2 = 9
(x - 7)2 + y2 = 3
x2 + (y -7)2 = 3

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 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

5 mins • 1 pt

Media Image

What is the equation of the circle?

(x+1)2 + (y +1)2 = 3
(x+1)2 + (y -1)2 = 3
(x+1)2 + (y +1)2 = 9
(x-1)2 + (y -1)2 = 9

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 81?

4

8

4√2

9

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the radius of the circle given by the equation (x - 7)2 + (y + 3)2 = 25?

3

5

10

25

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

5 mins • 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

7.

MULTIPLE CHOICE QUESTION

5 mins • 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

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