Equations of Circles

Front

What is the standard 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 - 3)² + (y + 2)² = 16?

Back

Center: (3, -2)

Front

What is the radius of the circle given by the equation (x + 5)² + (y - 1)² = 36?

Back

Radius: 6

Front

Write the equation of a circle with center (0, 0) and radius 4.

Back

x² + y² = 16

Front

What is the center and radius of the circle given by the equation (x - 1)² + (y + 4)² = 9?

Back

Center: (1, -4), Radius: 3

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 in standard form.

Front

What is the equation of a circle with center (-2, 3) and radius 5?

Back

(x + 2)² + (y - 3)² = 25

Front

Identify the center and radius of the circle represented by (x + 1)² + (y - 2)² = 49.

Back

Center: (-1, 2), Radius: 7

Front

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

Back

x² + y² + Dx + Ey + F = 0

Front

Write the equation of a circle with center (4, -1) and radius 2.

Back

(x - 4)² + (y + 1)² = 4