Standard and General Forms of a Circle

Authored by Pablo Unday

Mathematics

9th - 12th Grade

CCSS covered

Used 76+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

(x+2)² + (y+3)² = 49

(x+2)² + (y+3)² = 13

(x-2)² + (y-3)² = 49

(x-2)² + (y-3)² = 13

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the equation of a circle with center (5,-3) and radius of 9

x²+y²-10x+6y-47=4

x²+y²-10x-6y-47=0

2x²+y²+10x+6y-47=0

x²+y²-10x+6y-47=0

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

(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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

C = (5,-4) r = 7

C = (-5,4) r = 7

C = (-4,5) r = 49

C = (5,-4) r = 49

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation of the circle in general form.

Tags

CCSS.HSG.GPE.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the equation of the circle in general form.

Tags

CCSS.HSG.GPE.A.1

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

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Standard and General Forms of a Circle

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

Determine the equation of a circle with center (5,-3) and radius of 9

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

Write the equation of the circle in general form.

Write the equation of the circle in general form.

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

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

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

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

Access all questions and much more by creating a free account

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Popular Resources on Wayground

Discover more resources for Mathematics

Standard and General Forms of a Circle

Determine the equation of the circle in standard form:x² + y² + 4x + 6y - 36 = 0

Determine the equation of a circle with center (5,-3) and radius of 9

Determine the equation of the circle in standard form: x2 + y2 + 6x - 12y + 20 = 0

Determine the center and radius:x2 + y2 - 10x + 8y -8 = 0

Write the equation of the circle in general form.

Write the equation of the circle in general form.

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

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

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

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Determine the equation of the circle in standard form:
x² + y² + 4x + 6y - 36 = 0

Determine the equation of the circle in standard form: x²+ y²+ 6x - 12y + 20 = 0

Determine the center and radius:
x²+ y²- 10x + 8y -8 = 0

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

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

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

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