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When use radians?

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Wiki User
2008-12-26 19:42:23
2008-12-26 19:42:23

Whenever you are not able to use degrees you use radians instead

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Wherever you want to measure and calculate angles you can use radians

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Scroll down to related links and use the fine calculator "Convert radians to degrees and degrees to radians".

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That's a simple way to measure angles, but later on in Calculus radians are used. 2π radians = 360o.

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180° = π radians → 45° = π × 45°/180° radians = π/4 radians

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pi [radians] = 180 [degrees] 1 [degree] = pi/180 [radians] = 0.0174533 [radians] therefore, 2115 [degrees] = 2115 [degrees] * 0.0174533 [radians/degree] = 36.9 [radians]

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Use an angle of pi/4 radians.

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The angles are: 40° = 2π/9 radians ≈ 0.698 radians, 60° = π/3 radians ≈ 1.047 radians 120° = 2π/3 radians ≈ 2.094 radians, and 140° = 7π/9 radians ≈ 2.443 radians. There are 2 + 3 + 6 + 7 = 18 parts. The sum of the angles in a quadrilateral are 360° → each part is 360° ÷ 18 = 20° → the angles are: 2 x 20° = 40° 3 x 20° = 60° 6 x 20° = 120° 7 x 20° = 140° A full circle is 2π radians → 360° = 2π radians → 1° = π/180 radians → 40° = 40 x π/180 radians = 2π/9 radians ≈ 0.698 radians → 60° = 60 x π/180 radians = π/3 radians ≈ 1.047 radians → 120° = 120 x π/180 radians = 2π/3 radians ≈ 2.094 radians → 140° = 140 x π/180 radians = 7π/9 radians ≈ 2.443 radians

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One revolution = 2Pi radians 16.75 radians / 2Pi radians/rev ~= 2.666 revolutions

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Radians = (pi/180)*degrees --> pi*(-220/180) radians = -11*pi/9 radians = -11*(3.1416)/9 = -3.839733333 radians

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There are 6.1 radians (rounded) in 350 degrees. (6.108652 radians).

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When people use degrees, they either use "degrees" as in 30 degrees, or the little circle as in 30o. For Radians, they might say radians or possibly R or Rad.

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3 x pi radians as 360° is 2 x pi radians

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Degrees x 0.01745 = radians

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As 180° = a straight angle = π radians → to convert degrees to radians divide by 180° and multiply by π radians → 315° = 315° ÷ 180° × π radians = 7π/4 radians ≈ 5.50 radians.

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It means a central angle measured in radians. ex. Convert 360 degrees radians. 180 degrees = pi radians so 360 degrees = pi radians/180 degrees = 360pi radians/180 = 2 pi radians

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No, 360 degrees is equal to 2 pi radians, or about 6.28 radians.

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It is: 35/18*pi radians because 1 degree = pi/180 radians

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75 degrees is about 1.308 radians.

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60 degrees = ~1.0472 radians

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120 degrees = 2.0944 radians.

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It is: 10/9*pi radians


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