Alyssa R.

asked • 07/10/19

Radian and degree measures

How are radian measures more versatile than degree measures?

Philip P.

tutor
The length of a circle arc subtended by a central angle theta is equal to the central angle in radians times the radius. arc length = theta x radius If theta is given in degrees, the formula is more complicated: arc length = (theta/360) x 2pi x radius So having the angle in radians makes it easier to compute arc lengths.
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07/10/19

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Mark H. answered • 07/10/19

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One significant feature is that the tangent of a small angle is the same as the value of the angle in radians.


Example: The tangent of an angle of 0.1 radians is 0.1003. As the angle approaches 0, the angle in radians and the tangent become identical.

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