Graphing Circles on a coordinate plane

Front

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

Back

(0, 0)

Front

What is the standard equation of a circle?

Back

(x-h)² + (y-k)² = r²

Front

What is the center for the circle with this equation x² + y² + 4x + 6y - 36 = 0?

Back

(-2, -3)

Front

In the equation (x-3)² + (y-2)² = 16, what is the center of the circle?

Back

(3, 2)

Front

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

Back

(x - 3)² + (y + 4)² = 9

Front

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

Back

The radius of the circle.

Front

How do you find the center of a circle from its standard equation?

Back

Identify (h, k) from (x-h)² + (y-k)² = r².

Front

What is the radius of the circle given by the equation (x + 1)² + (y - 2)² = 25?

Back

5 (since r² = 25, r = √25 = 5)

Front

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

Back

x² + y² + Dx + Ey + F = 0

Front

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

Back

Complete the square for x and y.