Deriving and using the equation of a circle

Deriving and using the equation of a circle

9th - 12th Grade

20 Qs

quiz-placeholder

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Deriving and using the equation of a circle

Deriving and using the equation of a circle

Assessment

Quiz

Mathematics

9th - 12th Grade

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Wayground Content

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the equation (x - 3)2 + (y + 4)2 = 121, the radius of the circle is

242

11

121

22

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which is the correct equation of a circle whose centered at (-1, -5) and has a radius of 5?

(x + 1)2 + (y - 5)2 = 25

(x - 1)2 + (y - 5)2 = 25

(x - 1)2 + (y + 5)2 = 25

(x + 1)2 + (y + 5)2 = 25

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In the equation (x-3)2+(y+4)2=121, the center of the circle is at...
(3, -4)
(-3, 4)
(4, 3)
(-4, -3)

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A circle is represented by the equation  x²+y²+4x+6y-36=0? . Which of the following shows the location of the center of the circle?

center (2, 3)

center (-2, -3)

center (4, 6)

center (-4, -6)

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Given the equation of a circle x2+y210x+16y30=0x^2+y^2-10x+16y-30=0 
Check all of the statements that are true.

 (x5)2+(y+8)2 =119\left(x-5\right)^2+\left(y+8\right)^{2\ }=119  

Center is (5, -8)  Radius= 10.9

Center is (-5, 8)  Radius is = 10.9

 (x+5)2+(y8)2=119\left(x+5\right)^2+\left(y-8\right)^2=119  

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the equation of the circle?

x2+y2+2x+2y1=0x^2+y^2+2x+2y-1=0

x2+y2+2x2y1=0x^2+y^2+2x-2y-1=0

x2+y2+2x+2y7=0x^2+y^2+2x+2y-7=0

x2+y22x2y7=0x^2+y^2-2x-2y-7=0

Tags

CCSS.HSG.GPE.A.1

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