General and Standard Equation of a Circle

General and Standard Equation of a Circle

10th Grade

15 Qs

quiz-placeholder

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General and Standard Equation of a Circle

General and Standard Equation of a Circle

Assessment

Quiz

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSG.GPE.A.1

Standards-aligned

Created by

Anthony Clark

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Select the matching graph.

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSG.GPE.A.1

2.

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

3.

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

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the coordinates of the centre and the radius of the circle with equation:
(x - 4)2 + (y - 3)2 = 25 ?

Centre  (4,3)
Radius = 5 units

Centre  (4,3)
Radius = 25 units

Centre  (-4,-3)
Radius = 25 units

Centre  (-4,-3)
Radius = 5 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

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

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The equation of a circle is x2 + y2 + 6x - 12y + 20 = 0. Write the equation in standard form.

(x - 3)2 + (y + 6)2 = 25

(x + 3)2 + (y - 6)2 = 25

(x - 3)2 + (y + 6)2 = 45

(x + 3)2 + (y - 6)2 = 5

Tags

CCSS.HSG.GPE.A.1

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