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Circle Equations Converting Forms

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Circle Equations Converting Forms
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10 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x + 3)2 + (y + 1)2 = 22 ?

Centre  (-3,-1)
Radius = 4 units

Centre  (3,1)
Radius = 2 units

Centre  (-3,-1)
Radius = 2 units

Centre  (3,1)
Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the equation of the circle, with centre (7,-3) and radius 8 units?

(x - 7)2 + (y + 3)2 = 8

(x - 7)2 + (y + 3)2 = 64

(x + 7)2 + (y - 3)2 = 8

(x + 7)2 + (y - 3)2 = 64

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x - a)2 + (y - b)2 = r2 ?

Centre (a,b)
Radius = r2 units

Centre (-a,-b)
Radius = r units

Centre (a,b)
Radius = r units

Centre (-a,-b)
Radius = r2 units

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x - 1)2 + (y - 2)2 = 32 ?

Centre (-1,-2)
Radius = 3 units

Centre (1,2)
Radius = 3 units

Centre (-1,-2)
Radius = 9 units

Centre (1,2)
Radius = 9 units

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x + 2)2 + (y + 5)2 = 16 ?

Centre  (2,5)
Radius = 16 units

Centre (2,5)
Radius = 4 units

Centre (-2,-5)
r = 16 units

Centre (-2,-5)
Radius = 4 units

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x - 5)2 + (y + 3)2 = 36?

Centre (5,-3)
Radius = 6 units

Centre (-5,3)
Radius = 6 units

Centre (-5,3)
Radius = 36 units

Centre (5,-3)
Radius = 36 units

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with 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

Tags

CCSS.HSG.GPE.A.1

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