Learn to basics of eliminating the parameter with sine and cosine

The video tutorial explains how to eliminate the parameter in parametric equations to derive the standard equation of a circle. It begins by discussing the relationship between cosine, sine, and parametric equations of a circle. The instructor then introduces the geometric form and Pythagorean identity, showing how to express cosine and sine in terms of x and y. Finally, the tutorial demonstrates converting these expressions into the standard equation of a circle, x^2 + y^2 = r^2, with a specific example where the radius is 5.

How do you derive the equation x squared plus y squared equals 25 from the parametric equations?

What does the radius equal in the final equation of the circle derived in the text?