Equation of a Circle

Front

What is the standard equation of a circle with center (h, k) and radius r?

Back

(x - h)² + (y - k)² = r²

Tags

CCSS.HSG.GPE.A.1

Front

What is the center of the circle in the equation (x - 5)² + (y + 3)² = 25?

Back

(5, -3)

Tags

CCSS.HSG.GPE.A.1

Front

What is the radius of the circle in the equation (x + 1)² + (y - 4)² = 36?

Back

6

Tags

CCSS.HSG.GPE.A.1

Front

Write the equation of a circle with center (0, 0) and radius 5.

Back

x² + y² = 25

Tags

CCSS.HSG.GPE.A.1

Front

In the equation (x - 2)² + (y + 1)² = 9, what is the radius of the circle?

Back

3

Tags

CCSS.HSG.GPE.A.1

Front

What is the diameter of a circle if its radius is 4?

Back

8

Tags

CCSS.7.G.B.4

Front

Identify the center of the circle from the equation x² + y² = 49.

Back

(0, 0)

Tags

CCSS.HSG.GPE.A.1

Front

What is the equation of a circle with center (-3, 2) and radius 4?

Back

(x + 3)² + (y - 2)² = 16

Tags

CCSS.HSG.GPE.A.1

Front

In the equation (x + 4)² + (y - 1)² = 25, what is the center of the circle?

Back

(-4, 1)

Tags

CCSS.HSG.GPE.A.1

Front

What is the radius of the circle represented by the equation (x - 6)² + (y + 2)² = 64?

Back

8

Tags

CCSS.HSG.GPE.A.1