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प्रश्न
Find the degree and radian measure of exterior and interior angle of a regular Octagon.
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उत्तर
Octagon:
Number of sides = 8
Number of exterior angles = 8
Sum of exterior angles = 360°
∴ Each exterior angle = `(360°)/"no. of sides"`
= `(360°)/8`
= 45°
=`(45 xx pi/180)^"c"`
= `(pi/4)^"c"`
Interior angle + Exterior angle = 180°
∴ Each interior angle = 180° – 45° = 135°
= `(135 xx pi/180)^"c"`
= `((3pi)/4)^"c"`
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