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प्रश्न
Find the degree and radian measure of exterior and interior angle of a regular pentagon.
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उत्तर
Pentagon:
Number of sides = 5
Number of exterior angles = 5
Sum of exterior angles = 360°
∴ Each exterior angle = `(360°)/"no. of sides"`
= `(360°)/5`
= 72°
= `(72 xx pi/180)^"c"`
= `((2pi)/5)^"c"`
Interior angle + Exterior angle = 180°
∴ Each interior angle = 180° – 72° = 108°
= `(108 xx pi/180)^"c"`
= `((3pi)/5)^"c"`
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