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Standard Form of Circles

Authored by Eric Hollier

Mathematics

9th - 12th Grade

CCSS covered

Used 5+ times

Standard Form of Circles
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17 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the standard equation of a circle with center at (h,k)?

(x – h)2 + (y – k)2 = r2

(x + h)2 + (y + k)2 = r2

x2 - y2 = r2

x2 + y2 = r2

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the equation of a circle in standard form with center at the origin?

x + y =r2

x - y = r2

x2 + y2 = r2

x2 - y2 = r2

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following equations of circle in standard form with center at (1, 2) and a radius of 3 units?

x2 + y2 = 3

x2 + y2 = 9

(x - 1)2 + (y - 2)2 = 9

(x + 1)2 + (y + 2)2 = 9

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Write the equation of the circle graphed above.

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following equations of circles in standard form with center at (-3, 4) and a radius of 5 units?

x2 - y2 = 25

x2 + y2 = 25

(x - 3)2 + (y + 4)2 = 25

(x + 3)2 + (y - 4)2 = 25

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Select the equation of a circle that has a diameter of 12.

(x-6)2+(y+6)2=12

(x-12)2+(y-2)2=6

(x+1)2+(y-12)2=144

(x-4)2+(y-1)2=36

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following equations of circles in standard form with center at (-5, -8) and a radius of 6 units?

(x - 5)2 - (y - 8)2 = 36

(x + 5)2 - (y + 8)2 = 36

(x + 5)2 - (y + 8)2 = 36

(x + 5)2 + (y + 8)2 = 36

Tags

CCSS.HSG.GPE.A.1

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