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
since 1 radian = 180/π degrees 210 degrees = 210/180 * π radians = 7/6 * π radians = 3.665191429...
180° = π radians → 45° = π × 45°/180° radians = π/4 radians
180 deg = π radians so 540 deg = 3π radians.
A radian is an arc of a circle whose size is the same as its radius and in degrees it is about 57.3 degrees because there are 360 degrees around a circle and so 2*pi radians = 360 degrees. 2 pi = 360 degrees therefore 18 degrees = 2 pi x 18/360 radians = 0.1 pi radians
It is: 1/6*pi radians
tan(6 radians) = -0.2910
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
It was 6 radians per second. Angular acceleration = -3 radians per second2 Initial angular velocity = 6 radians per second. Final angular velocity = zero. Average angular velocity = 3 radians per second. Angular displacement in 2 seconds = 3 x 2 = 6 radians.
1 radian is about 57.3 degrees and so 360/57.3 is about 6 radians
2.75
No. A radian is a measure of an angle, it is not, itself, an angle. Degrees and radians are measures of angles and the two measures are related by the following conversion: 180 degrees = pi radians
since 1 radian = 180/π degrees 210 degrees = 210/180 * π radians = 7/6 * π radians = 3.665191429...
The same way as with degrees. All you have to know is how to convert degrees from radians and radians from degrees.... this is how you do it... radians= pi/180 degrees= 180/pi to get angles from degrees to radians you multiply the angle that is measured in degrees by pi/180. to get angles from radians to degrees you multiply the angle that is measured in radians by 180/pi. pi=3.14
9
6 radians = 6 x (180/pi) = 343.775 degrees (rounded)
1.13446 radians (to 6 sf).