graphing form of circles

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

Back

(x-3)² + (y-4)² = 4

Front

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

Back

(0, 0)

Front

In order to convert from general form of a circle to graphing form, you must ___________.

Back

complete the square.

Front

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

Back

(x + 5)² + (y - 2)² = 36.

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.

Front

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

Back

The radius is the square root of the number on the right side of the equation in standard form.

Front

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

Back

The diameter is twice the radius (d = 2r).

Front

If a circle's center is at (2, -3) and has a radius of 5, what is its equation?

Back

(x-2)² + (y+3)² = 25.

Front

What does the term 'completing the square' mean in relation to circles?

Back

It is a method used to convert the general form of a circle's equation into standard form.