Topic 77 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 is the center of the circle given by the equation (x - 3)² + (y + 2)² = 25?

Back

(3, -2)

Front

What is the radius of the circle given by the equation (x + 1)² + (y - 4)² = 16?

Back

4

Front

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

Back

The radius is the square root of the constant on the right side of the equation.

Front

What is the diameter of a circle if the radius is 5?

Back

10

Front

What is the equation of a circle with center (0, 0) and radius 3?

Back

x² + y² = 9

Front

If the center of a circle is at (2, -3) and the radius is 6, what is the equation of the circle?

Back

(x - 2)² + (y + 3)² = 36

Front

What is the distance between the center of the circle (1, 2) and the point (4, 6)?

Back

5

Front

What does the term 'standard form' refer to in the context of circle equations?

Back

The standard form of a circle's equation is (x - h)² + (y - k)² = r².

Front

What is the center of the circle given by the equation x² + y² = 25?

Back

(0, 0)