Standard Form of a Circle and Center

Standard Form of a Circle and Center

10th Grade

13 Qs

quiz-placeholder

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Standard Form of a Circle and Center

Standard Form of a Circle and Center

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Anthony Clark

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13 questions

Show all answers

1.

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

2.

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 1 pt

What is the radius of the circle with this equation of (x - 5)² + (y + 7)² = 8?

4

8

4√2

2√2

Tags

CCSS.HSG.GPE.A.1

4.

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

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A circle has the equation x2 + y2 + 8x - 20 = 0. Write the equation in standard form.

(x + 4)2 + y2 = 6

(x + 4)2 + y2 = 36

(x - 4)2 + y2 = 6

(x - 4)2 + y2 = 36

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A circle has the equation x2 + y2 - 6y - 5 = 0. Write the equation in standard form.

x2 + (y + 3)2 = 7

x2 + (y - 3)2 = 7

x2 + (y + 3)2 = 14

x2 + (y - 3)2 = 14

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Write the equation of the circle with center C( -5 , 8 ) and radius = 7

( x - 5 )2 + ( y + 8 )2 = 14

( x - 5 )2 + ( y - 8 )2 = 49

( x - 5 )2 + ( y + 8 )2 = 49

( x + 5 )2 + ( y - 8 )2 = 49

Tags

CCSS.HSG.GPE.A.1

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