Converting and Graphing Circles on the Polar Plane

Learn to convert and graph circles in polar form through this comprehensive 56-minute video lesson. Master four key scenarios: circles centered at the origin, circles passing through the origin and centered on the x-axis or y-axis, and circles passing through the origin with center (a, b) and radius sqrt(a^2 + b^2). Follow step-by-step explanations for converting between rectangular and polar forms, and practice graphing various circle configurations on the polar plane. Gain a thorough understanding of polar equations for circles in different positions and enhance your skills in manipulating and visualizing circular functions in polar coordinates.

Introduction.
Converting circles with a center at the origin to polar.
Converting a circle with a center at the origin to polar.
Graphing a circle with a center at the origin.
Converting a circle with a center at the origin to rectangular.
Graphing a circle with a center at the origin.
Polar Equation of a circle with center not at the origin.
Polar Equations of a circle through the origin and centered on the x-axis.
Converting a circle through the origin centered on the x-axis to polar.
Graphing a circle through the origin and centered on the x-axis.
Converting a circle through the origin centered on the x-axis to rectangular.
Graphing a circle through the origin and centered on the x-axis.
Converting a circle through the origin centered on the y-axis.
Converting a circle through the origin centered on the y-axis to rectangular.
Graphing a circle through the origin centered on the y-axis.
Converting a circle through the origin centered on the y-axis to polar.
Graphing a circle through the origin centered on the y-axis.
Converting a circle through the origin with center (a, b) to polar.
Converting a circle through the origin to polar.
Graphing a circle through the origin.
Converting a circle through the origin to rectangular .
Graphing a circle through the origin.