Understanding Circle Equations (Standard Form)

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

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

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

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

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

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

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

From the equation (x - 7)² + (y + 2)² = 4, what is the center?

• (7, 0)

• (10, -2)

• (5, -2)

• (7, -2)

Tags

CCSS.HSG.GPE.A.1

What is the radius of the circle given by the equation (x)² + (y - 6)² = 16?

• 6

• 8

• 2

• 4

Tags

CCSS.HSG.GPE.A.1

Find the center and radius of the circle described by the equation x² + y² - 8x + 6y = 0.

• Center: (2, 3), Radius: 4

• Center: (5, -2), Radius: 6

• Center: (0, 0), Radius: 3

• Center: (4, -3), Radius: 5

Tags

CCSS.HSG.GPE.A.1