Circle Equations

Front

What is the equation of a circle with center (h, k) and radius r?

Back

(x - h)² + (y - k)² = r²

Front

What are the coordinates of the center of the circle given by the equation (x - 4)² + (y - 3)² = 25?

Back

Center: (4, 3)

Front

What is the radius of the circle given by the equation (x - 4)² + (y - 3)² = 25?

Back

Radius: 5 units

Front

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

Back

Center: (0, 0)

Front

What is the equation of a circle with center (-4, 5) and radius 6?

Back

(x + 4)² + (y - 5)² = 36

Front

What is the equation of a circle with center (1, -1) and radius 3?

Back

(x - 1)² + (y + 1)² = 9

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 (x - h)² + (y - k)² = r².

Front

What is the general 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

What is the center of the circle given by the equation (x + 2)² + (y - 3)² = 16?

Back

Center: (-2, 3)

Front

What is the radius of the circle given by the equation (x + 2)² + (y - 3)² = 16?

Back

Radius: 4 units