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Math Help - radian

  1. #1
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    Unhappy radian

    what is radian?
    how to use it? can you explain by using examples?
    i know a formula related to radian : s= r(theta)
    why it is better to use the formula to find length of arc rather than formula : (angle at the center)/360 times circumference ?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by reneelyn View Post
    what is radian?
    how to use it? can you explain by using examples?
    i know a formula related to radian : s= r(theta)
    why it is better to use the formula to find length of arc rather than formula : (angle at the center)/360 times circumference ?
    Radians measure angles. The measure is the length of the arc of a unit circle subtended by the angle at the centre of the circle.

    It is a better measure than degrees for many purposes because it is a natural unit (unlike the degree which is a 90-th part of a right angle). Which results in better properties for trig (and related) functions when expressed in radians compared to when expressed in degrees.

    RonL
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  3. #3
    MHF Contributor Quick's Avatar
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    Quote Originally Posted by reneelyn View Post
    what is radian?
    how to use it? can you explain by using examples?
    i know a formula related to radian : s= r(theta)
    why it is better to use the formula to find length of arc rather than formula : (angle at the center)/360 times circumference ?
    Just restating what capt. said.

    Radians are a different way to measure degrees, instead of a right angle being 90^o in radians it's \frac{\pi}{2}

    it's more useful to use radians in certain situations (it's like using kilometres instead of miles, it's easier to work with)
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