Circle Equation (Standard Form)

Front

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

Back

(x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.

Tags

CCSS.HSG.GPE.A.1

Front

What does the center of a circle represent in its equation?

Back

The center (h, k) is the point around which the circle is drawn.

Tags

CCSS.HSG.GPE.A.1

Front

In the equation (x-4)² + (y-3)² = 25, what is the radius of the circle?

Back

5, because the radius is the square root of 25.

Tags

CCSS.HSG.GPE.A.1

Front

What is the radius in the equation (x+2)² + (y-3)² = 4?

Back

2, because the radius is the square root of 4.

Tags

CCSS.HSG.GPE.A.1

Front

How do you find the center of the circle from the equation (x-3)² + (y-2)² = 16?

Back

The center is (3, 2).

Tags

CCSS.HSG.GPE.A.1

Front

What does the equation (x+2)² + (y-3)² = 36 represent?

Back

A circle with center (-2, 3) and radius 6.

Tags

CCSS.HSG.GPE.A.1

Front

What is the first step when graphing a circle?

Back

Graph the center of the circle.

Tags

CCSS.HSG.GPE.A.1

Front

In the equation (x-4)² + (y-3)² = 25, what does the number 25 represent?

Back

The square of the radius of the circle.

Tags

CCSS.HSG.GPE.A.1

Front

What is the center of the circle in the equation (x+1)² + (y-5)² = 9?

Back

(-1, 5).

Tags

CCSS.HSG.GPE.A.1

Front

What is the radius of the circle in the equation (x-2)² + (y+3)² = 49?

Back

7, because the radius is the square root of 49.

Tags

CCSS.HSG.GPE.A.1