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Understanding Circle Equations (Standard Form)

Authored by Salvie Marie Fuentes

Mathematics

10th Grade

CCSS covered

Used 1+ times

Understanding Circle Equations (Standard Form)
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the standard form of a circle's equation?

(x + h)² + (y + k)² = r²

(x - h)² + (y - k)² = r²

(x - h)(y - k) = r

x² + y² = r²

Tags

CCSS.HSG.GPE.A.1

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the center of the circle from the equation (x - 3)² + (y + 2)² = 16.

(3, 2)

(0, -2)

(5, -2)

(3, -2)

Tags

CCSS.HSG.GPE.A.1

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the circle given by the equation (x + 1)² + (y - 4)² = 25?

10

7

5

3

Tags

CCSS.HSG.GPE.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

From the equation x² + y² = 36, what is the center and radius?

Center: (0, 0), Radius: 6

Center: (2, 2), Radius: 4

Center: (0, 0), Radius: 8

Center: (1, 1), Radius: 5

Tags

CCSS.HSG.GPE.A.1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the center of the circle represented by the equation (x - 5)² + (y - 1)² = 9.

(6, 1)

(5, 2)

(4, 1)

(5, 1)

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the circle defined by the equation (x + 4)² + (y)² = 49?

3

5

7

10

Tags

CCSS.HSG.GPE.A.1

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Identify the components of the circle equation (x - 2)² + (y + 3)² = 36.

Center: (0, 0), Radius: 5

Center: (2, -3), Radius: 6

Center: (2, 3), Radius: 7

Center: (4, -3), Radius: 6

Tags

CCSS.HSG.GPE.A.1

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