Circles and ellipses

Front

What is the major axis of an ellipse?

Back

The longer axis of an ellipse.

Front

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

Back

11

Front

What does (h,k) represent in the standard equation of a circle?

Back

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

Front

What is the standard equation of a circle?

Back

(x-h)² + (y-k)² = r²

Front

What is the center of the ellipse if it is given as (1, 0)?

Back

(1, 0) is the center of the ellipse.

Front

What is the definition of a circle?

Back

A circle is a set of points in a plane that are equidistant from a fixed point called the center.

Front

What is the definition of an ellipse?

Back

An ellipse is a shape formed by the set of points where the sum of the distances from two fixed points (foci) is constant.

Front

What is the relationship between the major and minor axes of an ellipse?

Back

The major axis is longer than the minor axis.

Front

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

Back

The radius is the square root of the value on the right side of the equation (r²).

Front

What are the coordinates of the center of a circle given by (x-2)² + (y+3)² = 16?

Back

(2, -3) is the center of the circle.