How to graph a circle given the equation in standard form

The video tutorial explains how to graph the equation of a circle, specifically x^2 + y^2 = 1. It covers identifying the circle's properties such as vertices, foci, and center, and discusses the implications of having equal major and minor axes, resulting in a circle. The tutorial also guides on plotting the circle and understanding its features, concluding with a summary of the graphing process.

Explain how to find the foci of a circle when a^2 and b^2 are equal.

What is the significance of the value of C in relation to the foci and center of the circle?