The formula for converting radians to degrees is the given angle in radians multiplied by (180 degrees / pi), so in this case, 7 pi radians would be equal to 1260 degrees. (By the way, the greek letter pi isn't spelled with an e).
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since 1 radian = 180/π degrees 210 degrees = 210/180 * π radians = 7/6 * π radians = 3.665191429...
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
The easiest way to find the value of sin(20) is to use a scientific calculator or a computer. But if you want to actually calculate it, you could try the following. First you need to make sure that the angle is expressed in radians. 180 degrees = pi radians so 20 degrees =20*pi/180 = pi/9 radians. Call this value x. Then find x/1! - x3/3! + x5/5! - x7/7! + ... The further you go, the more accurate your result.
The answer is undefined as the Cotangent of Pi is undefined.
It is a trigonometric equation. A = sin-1(7/25) = 0.284 radians.