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Circle Systems

Authored by Kelli Ruchalski

Mathematics

9th - 12th Grade

CCSS covered

Used 10+ times

Circle Systems
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the equation of a circle with center (5,-3) and radius of 9

x2+y2-10x+6y-47=4
x2+y2-10x-6y-47=0
2x2+y2+10x+6y-47=0
x2+y2-10x+6y-47=0

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Write the equation of the circle in general form.

A

B

C

D

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following equations of circle in general form given the center at (3, 4) and radius of 5 units?

(x – 3)2 - (y – 4)2 = 25

(x – 3)2 + (y – 4)2 = 25

x2 + y2 + 6x - 8y - 25 = 0

x2 + y2 - 6x - 8y = 0

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following equations of circle in general form given the center at (5, -8) and radius of 11 units?

x2 + y2 -10x + 16y + 32 = 0

x2 + y2 -10x + 16y - 32 = 0

(x - 5)2 + (y + 8)2 = 11

(x - 5)2 + (y + 8)2 = 121

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How can we find the general form of a circle? 

divide out the center-radius form
multiply out the center-radius form
factor out the center-radius form
add up the center-radius form

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the equation of a circle with center (5,-3) and radius of 9

x2+y2-10x+6y-47=4
x2+y2-10x-6y-47=0
2x2+y2+10x+6y-47=0
x2+y2-10x+6y-47=0

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the solution(s) to the system of equations? (use graph paper)

 x2+(y2)2=16x^2+\left(y-2\right)^2=16  

 yx=6y-x=6  

(0, -6)  (4, -2)

(0, 6)  (4, 2)

(-4, 2)  (0, 6)

no solution

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