4 Radians Radians 2sln s ln 2Sln S ln 2ln sln 2ln ln A radian 180 ID: 607427
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New Mathematical formulae for new Geometric Constructions 1 . Radians 4 Radians Radians 2/)sln s ln (2/)Sln S ln ( )2ln / sln )2ln / ln A radian: 180º / 4M = 57.6º A radian is part of a circle that forms an isosceles triangle where the length of the chord is equal to the radius of the circle. 6.57)Sln S ln ( / 180 :RadianRadian: 18º / 4 = 57.6º 4M / 180º = 0.01736111 The chord of the radian is part of the circumference of the circle. The length of the chord is equal to that of the radius of the circle. This means that an equilateral triangle will be formed if the chord is made into a straight line. See pages describing chords for the method of producing a straight line from a chord. Klick 1. Chords A radian can be represented in different ways: otheror 3...3.14159265 examlefor valuesofevery )sln s ln (otheror 33...0.78539816 examlefor valuesofevery 2/)sln s ln ( 4 / Or ... 3.5786examlefor )sln s ln ( valuesofother every ...89465.0 2/)sln s ln ( valuesofother every Bu t Correct values: 3.125 valueSquaringonly )Sln S ln (0.78125 valueSquaringonly 2/)Sln S ln ( 2/)Sln S ln ( )2ln / ln ( = 0.78125 4 = 3.125 = 0.64 2 = 1.28 1.923 ) 2S ln / S ln(1.282 ) 2S ln / S ln(0.64 ) 2S ln / S ln(3.125 S) ln / S ln ( 1.56252 S) ln / S ln ( 0.78125 /2S) ln/ 2S ln (formulaeSquainrg -...---1.3 ) 2s ln / s ln(-...---1.2 ) 2s ln / s ln(-...---0. ) 2s ln / s ln(-...---3. s) ln / s ln ( -...---1.2 s) ln / s ln ( -...---0. /2s) ln/ 2s ln (formulaeesOther valu 222222222222=®==®==®==®==®==®=rrrrrrQQQQQQ M = 0.78125 M = 1.5625 M = 3.125 = 6.25 R = 0.64 R = 1.28 R = 1.92 R = 2.56 A Radian: 6.57) 2S ln / ln ( / 90 :Radian6.57)2/) 2S ln / ((ln / 180 :Radian6.57)Sln S ln ( / 90 :Radian6.57)2)Sln S ln (( / 180 :Radian360 / 8M = 57.6º 180 / 4 = 57.6º 90 * R = 57.6 45 / M = 57.6 45 / 0.78125 = 57.690º * = 57.6º 90º * 0.64 = 57.6º 45 * 2 = 57.6º 45º * 1.28= 57.6º A circle = 360º 360º = 8 = Radian Radian: 57.6º = (360º / 8) Radian: 57.6º = (180º / 4) Radian: 57.6º = (90º / 2) Radian: 57.6º = (90º * ) Radian: 57.6º = (180º * /2) Radian: 57.6º = (270º * /3) Radian: 57.6º = (360º * (/4)