Pre cal circle

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 are the coordinates of the center of a circle in standard form?

Back

(h, k)

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.A.1

Front

What is the general form of a conic equation?

Back

Ax² + Cy² + Dx + Ey + F = 0

Front

What is the formula for the distance between two points (x1, y1) and (x2, y2)?

Back

d = √[(x2 - x1)² + (y2 - y1)²]

Tags

CCSS.HSG.GPE.A.1

Front

What does the variable 'r' represent in the standard form of a circle's equation?

Back

The radius of the circle.

Tags

CCSS.HSG.GPE.A.1

Front

What is the definition of a circle in a plane?

Back

A set of all points in a plane that are equidistant from a fixed point.

Tags

CCSS.HSG.CO.A.1

Front

What is the radius of a circle if the equation is (x-2)² + (y+3)² = 9?

Back

3, since r² = 9.

Tags

CCSS.HSG.GPE.A.1

Front

How do you convert the standard form of a circle to general form?

Back

Expand (x-h)² + (y-k)² = r² to get Ax² + By² + Dx + Ey + F = 0.

Tags

CCSS.HSG.GPE.A.1

Front

What is the relationship between the center and radius of a circle?

Back

The center is the fixed point from which all points on the circle are equidistant, with that distance being the radius.

Tags

CCSS.HSG.GPE.A.1

Front

What is the significance of the values 'h' and 'k' in the standard form of a circle?

Back

They represent the x and y coordinates of the center of the circle.

Tags

CCSS.HSG.GPE.A.1