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]
47.6925 deg = 83.24 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.
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 go from radians to degrees, multiply by 180/pi To go from degrees to radians, multiply by pi/180
To find the arc length using radians, you can use the formula: Arc Length Radius x Angle in Radians. Simply multiply the radius of the circle by the angle in radians to calculate the arc length.
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
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.
One revolution = 2Pi radians 16.75 radians / 2Pi radians/rev ~= 2.666 revolutions