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Math Help - qestion on radian

  1. #1
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    qestion on radian

    Looks like there are two pi radii around the circumference of a circle


    I understan the radian is a unit of measurement. its a straight line from the outer edge of circle to the centre of a circle.


    so the how many time can trace a radian around a circufrence of a circle is about six times with a little left over. As radia is the lengh of the raduis. raduis is half a circle

    my qustion is when reffering when its 2 pi to circufrence of a circle does that mean . lengh of measurement is 2 raduis(radii) to a circle.



    this i got from a site on mats below and that what confusing me...
    Ive attached an image .. see image is that correct

    (Looks like there are two pi radii around the circumference of a circle, or about 2 )
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  2. #2
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    Re: qestion on radian

    Quote Originally Posted by hansolo View Post
    I understan the radian is a unit of measurement. its a straight line from the outer edge of circle to the centre of a circle.
    No, radian (see the picture on the linked page) is a unit of measuring angles. It is neither a straight line nor the distance between the edge of a circle and its center (that's the radius).

    Quote Originally Posted by hansolo View Post
    my qustion is when reffering when its 2 pi to circufrence of a circle does that mean . lengh of measurement is 2 raduis(radii) to a circle.
    This question is hard to understand (e.g., "when" is used two times). Please rephrase it.
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  3. #3
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    Re: qestion on radian

    ok so a radian is the raduis and the radius is half a diameter of a circle.

    this the video ive watched



    my question is how do i measure the circumfrence of a circle. I have seen the measurement of the circumfrence of a circle approximatley is 3.14 .(this know as pi
    A ruler cant measure the distance as ruler is designed as a straight line. I know later there will be no need for me to measure the perimetre of a circle. I would like to know how its completed. As then i will be able to see how and have better understanding when im writing down the number 3.14
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  4. #4
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    Re: qestion on radian

    Quote Originally Posted by hansolo View Post
    ok so a radian is the raduis and the radius is half a diameter of a circle.
    No, the radius is either a straight line segment from the center to the edge of the circle or the length of that segment. In contrast, as I said in post #2, the radian does not measure lengths, but angles.

    Quote Originally Posted by hansolo View Post
    my question is how do i measure the circumfrence of a circle. I have seen the measurement of the circumfrence of a circle approximatley is 3.14 .(this know as pi
    A ruler cant measure the distance as ruler is designed as a straight line. I know later there will be no need for me to measure the perimetre of a circle. I would like to know how its completed. As then i will be able to see how and have better understanding when im writing down the number 3.14
    You are right that later you won't need to physically measure the circumference. Do you know the joke asking how many software engineers are needed to change a light bulb? None; it's a hardware problem. Similarly, mathematicians give the definition and prove properties of the circumference, but they don't generally measure it with a ruler or any other tool.

    If you have a physical cylinder whose circumference you need to measure, you can wrap a thread around it, then straighten it and measure its length with a ruler. In fact, wrapping a thread several times and then dividing the result by the number of times will decrease the error of measurement. You can also roll the cylinder or disk on a flat surface and measure the distance between points on the surface that touch the same point on the cylinder. If you have a circle drawn on paper, you can construct a cyclic convex regular polygon (i.e., a polygon with equal angles and sides whose vertices lie on the circle), measure its side with a ruler and multiply it by the number of sides. The more sides, the closer the perimeter is to the circumference (though the measuring error increases as well). In fact, the circumference can be defined as the limit of perimeters of such inscribed polygons as the number of sides goes to infinity.

    The above are methods of measuring or defining circumference. An important property of circumference is that its ratio to diameter is \pi (not 3.14 since \pi is an infinite non-repeating decimal fraction and 3.14 is only its approximation). So, if you know the diameter d (which you can measure with a ruler), then you can find the circumference as \pi d, and if the radius is r, then the circumference is 2\pi r.

    See also this page.
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  5. #5
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    Re: qestion on radian

    hi

    I understand were the value 3.14 come from now . I was told why we double this value of pi when we only have he raduis rather than the diamtrer


    3.14 pi is the value which a diamter of the circle would fit around if it was piece of string.

    The raduis being half the size of the diameter fits double into circumfrence of a circle so fits around six time instead(double the amount).

    now i understand why sometimes it says 2 pi. its when you only have the raduis and the raduis fit half way round approximitley on pi . so the pi is doubled as the raduis fits six times ...

    ok thanks
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  6. #6
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    Re: qestion on radian

    ok so a radian is the raduis and the radius is half a diameter of a circle.

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