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Circles and conic sections

Authored by Wayground Content

Mathematics

9th - 12th Grade

CCSS covered

Used 1+ times

Circles and conic sections
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20 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

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

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

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

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

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the center of (x + 2)2  + (y - 5)2 = 25

(-2,5)
(2,-5)
(2,5)
(-1,-5)

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Jemilie and Nathaley are helping their friend Archie to design a circular garden in his backyard. Archie wants the garden to be in the shape of the circle represented by the standard form equation (x+3)^2 + (y-4)^2 = 36. Can you help Jemilie, Nathaley and Archie figure out the location and size of the garden?

The garden will be centered at (-3, 4) with a radius of 12 feet.

The garden will be centered at (3, -4) with a radius of 36 feet.

The garden represented by the standard form equation (x+3)^2 + (y-4)^2 = 36 will be centered at (-3, 4) with a radius of 6 feet.

The garden will be centered at (0, 0) with a radius of 9 feet.

Answer explanation

The circle with the equation (x+3)^2 + (y-4)^2 = 36 is centered at (-3, 4) with a radius of 6.

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation of the circle, with centre (-2,-7) and radius 3 units?

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

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Which equation matches the circle on the graph?

(x-3)2 + (y-4)2 = 16

(x-5)2 + (y-2)2 = 20

(x+3)2 + (y+4)2 = 16

(x-9)2 + (y-16)2 = 32

Tags

CCSS.HSG.GPE.A.1

6.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

A circle in a coordinate plane is shown.

What is the radius of the circle?

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Circle O is defined by the equation x2 + (y – 2)2 = 25.  What is the center of circle O.

(-2, 0)
(0, 2)
(0, -2)
(2, 5)

Tags

CCSS.HSG.GPE.A.1

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