Equation of a Circle (Modeling Geometry) | Baamboozle - Baamboozle

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11 Multiple Choice questions about the basics of interpreting the equation of a circle #equationofacircle #conics #modelinggeometry

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#equationofacircle #conics #modelinggeometry

A circle has the equation x2 + y2=16.  What is the radius of the circle?

32

4

256

16

15

A circle has the equation (x+5)2 + (y-2)2 = 9.  What is the center of the circle?

(5, -2)

(-5, 2)

(-2, 5)

(2, -5)

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A circle has the equation (x-3)2  + (y + 5)2 = 36.  Which of the following statements is false?

The y-coordinate of the center is 5.

The x-coordinate of the center is 3.

The radius of the circle is 6.

The point (3, 1) lies on the circle.

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What is the equation of a circle with center (2, 4) and radius 5?

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

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

(x+2)2+(y+4)2 = 5

(x-2)2+(y-4)2 = 5

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C is the center of the circle shown below.  What is the equation of circle C?

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

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

(x + 2)2 + (y - 1)2= 3

(x - 2)2 + (y + 1)2= 3

15

Which point lies on the circle whose equation is (x - 3)2+ (y + 3)2= 45

(2,3)

(0, 3)

(3,3)

(1, 3)

15

Select the equation of a circle whose center is at (-5, 0), and its diameteris 18. 

(x + 5)2+ y2 = 81

(x - 5)2+ y2 = 81

(x + 5)2+ y2= 9

(x - 5)2+ y2= 9

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The center of a circle is at (6, -7) and the diameter of the circle is 22. Choose its equation.

(x - 6)2 + (y + 7)2= 121

(x - 6)2+ (y + 7)2= 11

(x + 6)2 + (y - 7)2= 11

(x + 6)2 + (y - 7)2= 121

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What is the circumference of a circle whose equation is whose equation is 2x2 + 2y2= 8?   :-D

25.12 units

100.48 units

12.56 units

50.24 units

15

Which is the equation of a circle centered at origin and that passes through the point (-8,0)

x2 + y2= 34

x2 + y2= 64

(x - 3)2 + (y - 5)2= 34

(x - 3)2 + (y - 5)2= 64

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C is the center of the circle shown below.  What is the equation of circle C?

(x - 1)2 + (y - 3)2= 25

(x - 1)2 + (y - 3)2= 100

(x + 1)2 + (y + 3)2= 25

(x + 1)2 + (y + 3)2= 100

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