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Measuring Angles

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Before I write about trigonometry, I would like to explain the measurement of angles. More people would think of a circle as having 360^\circ than 2\pi. The measurements are in degrees and radians respectively. Most people should already have a good understanding of degrees. Fortunately, understanding radian measurement is also easy.

A circle is made up of 360 degrees. A ^\circ after a number means the the number is in degrees . While decimals are most often used, minutes and seconds can be used to represent an angle. A minute is \frac{1}{60} of a degree and a second is \frac{1}{60} of a minute (\frac{1}{3600} of a degree). Minutes and seconds are denoted by ‘ and ” respectively. For example, 63.46^\circ = 63^\circ 27′ 36″.

More advanced math almost always uses radians. It is likely that you will eventually prefer to use radian measurement.

Radian Circle

 

Travel along the circumference of a circle the distance of its radius. The angle formed is equal to one radian. It is equal to about 57.3^\circ. Radians are often measured in terms of \pi. In this form, one radian is \frac{180}{\pi}. Conversely, it can be written as 1^r or 1^c.

To convert degrees to radians, multiply the number by \frac{\pi}{180}. To convert radians to degrees, multiply the number by \frac{180}{\pi}. That is it for now. Sine and cosine will probably be the topic of the next post.

Written by todizzle91

March 24, 2008 at 2:42 am

Posted in Trigonometry

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