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A circle is one of the most basic and well-known conic sections. To understand a circle, imagine a fixed point in a plane. This point is called the "center" of the circle. Now, every point that is at the same distance from this center forms the circle.
The distance from the center to any point on the circle is called the "radius." For example, if you have a fixed point and you draw all points that are 5 units away from this point, you will form a circle with a radius of 5 units.
The circle is unique among the conic sections because it is perfectly symmetrical along any axis through the center. It's a simple and perfect shape, making it a special member of the family of conic sections.

An ellipse might look like a stretched circle, but it has different properties. Instead of having one center, it has two fixed points called "foci." The sum of the distances from any point on the ellipse to these two foci is the same.
Imagine placing two pins in a board, tying a string around them, and pulling it taut with a pencil. As you move the pencil around, keeping the string taut, you will draw an ellipse.

• The longest diameter of the ellipse is called the "major axis"
• The shortest diameter is the "minor axis."

Both of these axes cross each other at the center of the ellipse, which is halfway between the foci. This geometric shape is often seen in orbits of planets and satellites.

A hyperbola is exciting because its shape is quite different from circles and ellipses. Instead of being closed shapes, hyperbolas are open and resemble two opposite curves. These curves are sometimes seen in the shape of a satellite dish or in certain bridge designs.
A hyperbola has two fixed points called "foci," similar to an ellipse, but here, it's the difference between the distances from any point on the hyperbola to the two foci that remains constant.
Imagine if you had a sheet of thin cardboard and made two cuts with a plane that slices through it at an angle. The shapes you would see don’t form a closed loop, but instead extend indefinitely into two separate branches.

A parabola is often seen in the path that a thrown ball or projectile follows. It has a unique shape that is precise and elegant.
There is one fixed point called the "focus" and a line called the "directrix." Every point on the parabola is equidistant to the focus and the directrix.
Common places you've seen parabolas may include satellite dishes or the shape of certain reflectors where the focus helps to gather and direct signals or light rays.