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Equation of a Circle

Authored by Barbara Tusa

Mathematics

9th - 10th Grade

Used 6+ times

Equation of a Circle
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11 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

What is the equation of the circle shown?

(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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What are the coordinates of the center and the radius of the circle with an equation:
(x + 7)2 + (y - 6)2 = 64 ?

Centre (7,-6)
Radius = 8 units
Centre (-7,6)
Radius = 64 units
Centre (-7,6)
Radius = 8 units
Centre (7,-6)
Radius = 64 units

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the radius of the circle with this equation of  (x-5)²+(y+7)²=8?

4
8
4√2
2√2

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Which graph corresponds to 
(x)2+ (y-6)2=9

A
B
C
D

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The point (-5,6) is on a circle with center (-1,3) write the equation of the circle

(x+1)2 + (y-3)2= 4000

(x+5)2 + (y-0)2= 25

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

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

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the equation for the circle, if it has diameter endpoints at (3,-4) and (-5,-4)?

(x+1)² + (y-4)² = 4

(x+1)² + (y+4)² = 16

(x-1)² + (y-4)² = 16

(x+1)² + (y+4)² = 4

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Does the point (4,5) lie on the circle whose center is (-2,-2) and radius 9?

yes

No

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