Equations of a circle

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 with the equation (x + 1)² + (y - 4)² = 36?

Back

Radius: 6 units

Front

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

Back

The center is given by the coordinates (h, k) from the equation (x - h)² + (y - k)² = r².

Front

What is the radius of a circle if its equation is x² + y² = 25?

Back

Radius: 5 units

Front

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

Back

x² + y² = 16

Front

What is the center of the circle represented by the equation (x - 5)² + (y + 3)² = 49?

Back

Center: (5, -3)

Front

If a circle has the equation (x + 2)² + (y - 1)² = 9, what is its radius?

Back

Radius: 3 units

Front

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

Back

The x-coordinate of the center of the circle.

Front

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

Back

The y-coordinate of the center of the circle.