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The measures of angles of a quadrilateral are in the ratio 2 3 6 7 find their measures in degrees and in 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
How many radians are equivalent to 210 degrees?
since 1 radian = 180/π degrees 210 degrees = 210/180 * π radians = 7/6 * π radians = 3.665191429...
What is 45 degrees converted to radians?
180° = π radians → 45° = π × 45°/180° radians = π/4 radians
How many radians equal to 540 angle?
180 deg = π radians so 540 deg = 3π radians.
How do you convert 18 degrees to radians expressing the answer as a multiple of pi?
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
