Equation 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 is the center of the circle in the equation (x - 3)² + (y + 4)² = 121?

Back

(3, -4)

Front

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

Back

6

Front

What is the equation of a circle with center (0, 0) and radius 5?

Back

x² + y² = 25

Front

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

Back

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

Front

What is the diameter of a circle if its radius is 7?

Back

14

Front

What is the equation of a circle with center (2, -3) and radius 4?

Back

(x - 2)² + (y + 3)² = 16

Front

What is the radius of the circle described by the equation x² + y² = 64?

Back

8

Front

In the equation (x + 5)² + (y - 1)² = 49, what is the center of the circle?

Back

(-5, 1)

Front

What is the equation of a circle with center (1, 1) and diameter 10?

Back

(x - 1)² + (y - 1)² = 25