Graphing Circles on a coordinate plane

Front

What is the standard equation of a circle?

Back

(x-h)² + (y-k)² = r²

Front

What does (h,k) stand for in the standard circle equation?

Back

(h,k) is the center of the circle.

Front

What is the center of the circle with equation x² + y² = 1?

Back

(0, 0)

Front

In the equation (x-3)²+(y+4)²=121, what is the radius of the circle?

Back

11

Front

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

Back

(x-3)² + (y-4)² = 4

Front

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

Back

'r' represents the radius of the circle.

Front

How do you find the radius from the equation of a circle?

Back

The radius is the square root of the constant on the right side of the equation.

Front

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

Back

x² + y² + Dx + Ey + F = 0

Front

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

Back

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

Front

How do you graph a circle given its equation?

Back

Identify the center (h,k) and radius r, then plot the center and draw a circle with radius r.