Find the Equation of the Circle

Find the Equation of the Circle

10th Grade

15 Qs

quiz-placeholder

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Find the Equation of the Circle

Find the Equation of the Circle

Assessment

Quiz

Mathematics

10th Grade

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What does (h,k) standard for in the standard circle equation?

(h,k) is the center of the circle

(h,k) is a point on the circle.

(h,k) is the radius of the circle

(h,k) is the diameter of the circle

Tags

CCSS.HSG.GPE.A.1

2.

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

3.

MULTIPLE CHOICE QUESTION

1 min • 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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A circle has the equation x2 + y2 + 10x - 4y + 20 = 0. Write it in standard form.

(x - 5)2 + (y + 2)2 = 9

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

(x + 5)2 + (y - 2)2 = 9

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

Tags

CCSS.HSG.GPE.A.1

5.

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

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

(x - 2)+ (y + 5)= 36

(x - 5)2 + (y + 2)2 = 6

(x + 5)+ (y - 2)= 36

(x + 2)+ (y - 5)= 6

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 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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