Question

Find the magnitude in radians and degrees of the interior angle of a regular pentagon

Answer 1

The exterior angle of a polygon = 360/n

Where n is the No. of sides

For a pentagon, the exterior angle = 360/5

                                                        = 72

The interior angle = 180 - 72

                             = 108 degrees


1 degree = 0.0174533 radians

108 degrees = 108 x 0.0174533

                     = 1.885 radians or 3/5 pi radians

Answer 2

Answer:

Step-by-step explanation:

The exterior angle of a polygon = 360/n

Where n is the No. of sides

For a pentagon, the exterior angle = 360/5

= 72

The interior angle = 180 - 72

= 108 degrees

1 degree = 0.0174533 radians

108 degrees = 108 x 0.0174533

= 1.885 radians or 3/5 pi radians