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How do you find the measure of angle 75 degree in radians?
A full turn is 360° which is equivalent to 2π radians To convert form degrees to radians divided by 360° and multiply by 2π; however 360° = 180°×2, therefore divide by 180° and multiply by π radians. → 75° = 75° ÷ 180° × π radians = 5π/12 radians ≈ 1.31 radians
What is the sum for tetrakaidecagon interior angle?
On the basis that you are familiar with terms such as "tetrakaidecagon" I assume you are mathematically at a stage where angles are measured in radians and not degrees. Then the interior angles of a 14 sided polygon sum to (14-2)*pi radians or 12*pi radians.
What is 45 degrees converted to radians?
180° = π radians → 45° = π × 45°/180° radians = π/4 radians
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 equal to 540 angle?
180 deg = π radians so 540 deg = 3π radians.
