A radian is a unit of angle, equal to an angle at the center of a circle, whose arc length is equal to the radius. In other words the radian is the angle that is created by the radius of a circle. The unit circle is a circle who has a radius of one, and is used to understand sines and cosines found in right triangles. By using right triangles, you can go around the unit circle and find the radian measures in the circle according to the origin. The formula for circumference can either be 2 pi radius or pi diameter, how this relates to radian measure is that the radius or diameter of a circle is used to create the angle of a triangle that is located in the unit circle. Radians and degrees can both mean the same thing, in a unit circle they are both the measure of the angle, both can be converted from and to each other. In my opinion I prefer the degrees measurement because it is easier to visualize than the radian measure. However, radians are more mathematically pure because the are what we use most often in formulas.
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AuthorWrite something about yourself. No need to be fancy, just an overview. Archives
November 2015
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