Common Angles Around a Circle

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The circle below can be thought of as being divided into angles that are integer multiples of 30, 45, 60, and 90 degree angles. Click one of the points on the circle to see the angle and its measurement in both degrees and radians. See notes below.

The angles marked on this circle represent common angles that are often used in introductory geometry and trigonometry problems.

Try figuring out the angle measurement before you click on the point. Then use this applet to check your value.

All of the angles will be shown as arcs when they are drawn. You should notice that all of these angles are in standard position.

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