Equation of a Circle

Equation of a Circle

10th Grade

20 Qs

quiz-placeholder

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Equation of a Circle

Equation of a Circle

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Medium

CCSS
HSG.GPE.A.1, HSG.C.A.2, HSG.GMD.A.1

Standards-aligned

Created by

ELIZABETH RAWSON

Used 210+ times

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of a circle with center (h,k) and radius r.
x2 + y2  = r2
(x + h)2 +  (y + h)2 = r2
(x - h)2 + (y - k)2 = r2
(x - h)2 - (h - k)2 = r

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

3 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

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write the equation of a circle centered at the origin with a radius of 6.

x2 + y2 = 6

x2 + y2 = 36

x + y = 6

x + y = 36

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Write the most simplified equation of a circle with a center of (7, 0) and a radius of 7.

(x - 7)2 + y2 = 49

x2 + (y - 7)2 = 49

(x + 7)2 + y2 = 49

(x - 7)2 + (y - 0)2 = 49

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the center of a circle with the equation (x - 4)2 + y2 = 5?

(-4, 0)

(4, 0)

(4, 5)

(-4, 5)

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A circle has a center of (-1, 3) and passes through the point (-5, 6). Write the equation of the circle described. (Hint: graph to find the length of the radius).

(x + 1)2 + (y - 3)2 = 5

(x - 1)2 + (y + 3)2 = 25

(x + 1)2 + (y - 3)2 = 25

(x - 1)2 + (y + 3)2 = 5

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the correct graph for the equation x² + y² = 4?

Media Image
Media Image
Media Image

The correct answer is not provided.

Tags

CCSS.HSG.GPE.A.1

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