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hi everybody this is mr. Bourne from Minnesota and his trusty cat and this tutorial will be on the unit circle radians angles and points now if you want to learn this fast this is the tutorial to watch what you will learn what the unit circle is how degrees and radians relate finding Radian measure and finding the XY exact coordinates of important Radian measures all under eight minutes first lets talk about what a unit circle is what youre seeing is an XY coordinate grid this is a plane with the pairs of coordinates and a unit circle is centered at the origin there it is little unit circle with a radius of one lets zoom in to get a little bit of a closer look at it here okay there we go now radius of one means that I could lift out this little blue piece here and this is the radius and as you can see no matter where I hold it its got a radius of one exactly now if we take that radius and we curve it heres a curved piece its the same thing its curved and Ive colored it purple i