Express in circular measure and also in degrees the angle of a regular octagon - Maths - Trigonometric Functions

Question

Express in circular measure and also in degrees the angle of a
regular octagon

Anuradha Sharma · Accepted Answer

A regular octagon has 8 equal sides
The sum of the 8 interior angles = 360So each exterior angle = 3608=45 degreeSo interior angle = 180-45=135 degreeNow 180 degree = π radiansSo 135 degree = π180×135=3π4 radiansHence the angle of a regular octagon is 135 degree =3π4 radians

Express in circular measure and also in degrees the angle of a regular octagon.