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Circles & Ellipses

Authored by Adele Peterman

Mathematics

9th - 12th Grade

CCSS covered

Used 20+ times

Circles & Ellipses
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14 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation of a circle with center (7, 0) with radius 3.

(x - 7)2 + y2 = 9
x2 + (y -7)2 = 9
(x - 7)2 + y2 = 3
x2 + (y -7)2 = 3

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

5 mins • 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

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the radius of the circle given by the equation (x - 7)2 + (y + 3)2 = 25?

3

5

10

25

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the radius of the circle with this equation x² + y² - 10x + 8y - 23 = 0?

4

2

8

23

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

5 mins • 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

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

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

(x + 5)2 + (y - 2)2 = 144

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

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

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

5 mins • 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

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