Radians
From Wikipedia, the free encyclopedia (http://en.wikipedia.org/wiki/Radian )
An tiptoe of 1 radian results in an curve with a space tinct to the radius of the circle.
Radian is the ratio between the space of an twinkle and its radius. The radian is the standard unit of angular measure, apply in many areas of mathematics.
The radian is represented by the symbolization rad or by the superscript c (for pecker measure). For drill, an move of 1.2 radians would be written as 1.2 rad or 1.2c. As the ratio of two lengths, the radian is a pure number that needs no unit symbol, and in mathematical writing the symbol rad is almost unendingly omitted. In the absence of any symbol radians are assumed, and when degrees are meant the symbol ° is used.
Definition
Radian describes the plane angle subtended by a circular arc as the length of the arc split by the radius of the arc. One radian is the angle subtended at the center of a circle by an arc that is pertain in length to the radius of the circle. More generally, the magnitude in radians of such a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, ? = s /r, where ? is the subtended angle in radians, s is arc length, and r is radius.
Conversely, the length of the enclosed arc is equal to the radius multiplied by the magnitude of the angle in radians; that is, s = r?.
A complete renewal is 2? radians.
It follows that the magnitude in radians of one complete variation (360 degrees) is the length of the entire circumference divided by the radius, or 2?r /r, or 2?. Thus 2? radians is equal to 360 degrees, meaning that one radian is equal to clxxx/? degrees.
Conversion between radians and degrees
As stated, one radian is equal to 180/? degrees. Thus, to convert from radians to degrees, multiply by 180/?.
For example:
Conversely, to convert from degrees to radians, multiply by ?/180.
For example:
Radian to degree...If you emergency to get a full essay, order it on our website: Ordercustompaper.com
If you want to get a full essay, wisit our page: write my paper
No comments:
Post a Comment