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Question
Find the degree and radian measure of exterior and interior angle of a regular hexagon
Solution
Hexagon:
Number of sides = 6
Number of exterior angles = 6
Sum of exterior angles = 360°
∴ Each exterior angle = `(360°)/"no. of sides"`
= `(360°)/6`
= 60°
= `(60 xx pi/180)^"c"`
= `(pi/3)^"c"`
Interior angle + Exterior angle = 180°
∴ Each interior angle = 180° – 60° = 120°
= `(120 xx pi/180)^"c"`
= `((2pi)/3)^c"`
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