Whenever you are not able to use degrees you use radians instead
Scroll down to related links and use the fine calculator "Convert radians to degrees and degrees to radians".
pi [radians] = 180 [degrees] 1 [degree] = pi/180 [radians] = 0.0174533 [radians] therefore, 2115 [degrees] = 2115 [degrees] * 0.0174533 [radians/degree] = 36.9 [radians]
To convert from degrees to radians, you can multiply by (pi / 180). Or use the Excel function to convert from degrees to radians. I am not sure about the name; you can find it under math functions.
47.6925 deg = 83.24 radians.
There are 6.1 radians (rounded) in 350 degrees. (6.108652 radians).
To convert degrees to radians, you can use the formula: radians = degrees * (π/180). Therefore, 35 degrees is approximately 0.6109 radians.
Wherever you want to measure and calculate angles you can use radians
Scroll down to related links and use the fine calculator "Convert radians to degrees and degrees to radians".
To convert radians to degrees, you can use the formula: degrees = radians * (180/π).
That's a simple way to measure angles, but later on in Calculus radians are used. 2π radians = 360o.
Use an angle of pi/4 radians.
180° = π radians → 45° = π × 45°/180° radians = π/4 radians
pi [radians] = 180 [degrees] 1 [degree] = pi/180 [radians] = 0.0174533 [radians] therefore, 2115 [degrees] = 2115 [degrees] * 0.0174533 [radians/degree] = 36.9 [radians]
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
One revolution = 2Pi radians 16.75 radians / 2Pi radians/rev ~= 2.666 revolutions
12/9 pi or 3.83972 radians (rounded)
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.