Conic Sections: Example 3

Topic

Quadratics

Description

This example showcases a circle, a fundamental conic section. The equation of a circle is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. This circle is centered at (0, -3) with a radius of about 6 units. Circles are unique among conic sections as they have a constant distance from a central point. This example demonstrates how quadratic equations in two variables can represent shapes other than parabolas. It's important to note that while circles are conic sections, they are not functions as they fail the vertical line test. Understanding circles is crucial in many fields, including geometry, physics, and engineering.

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