Circles and Ellipses

Front

What does (h,k) stand for in the standard circle equation?

Back

(h,k) is the center of the circle.

Front

What is the center of the ellipse?

Back

(1, 0)

Front

In the equation (x-3)²+(y+4)²=121, what is the radius of the circle?

Back

11

Front

Is the major axis of the ellipse horizontal or vertical?

Back

horizontal

Front

What is the center of the given ellipse?

Back

(h, k) = (-4, -3)

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 standard form of the equation of an ellipse centered at (h, k)?

Back

(x-h)²/a² + (y-k)²/b² = 1

Front

What do the variables a and b represent in the equation of an ellipse?

Back

a is the semi-major axis, b is the semi-minor axis.

Front

How do you determine if an ellipse is horizontal or vertical?

Back

If a > b, the ellipse is horizontal; if b > a, it is vertical.

Front

What is the distance between the foci of an ellipse?

Back

2c, where c = √(a² - b²).