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Ashwathy Menon Grade: Upto college level
        

Q] express in degrees and radians,the interior angles of a regular


a]pentagon


b]hexagon


c]octagon


d]polygon of 15 sides...

7 years ago

Answers : (1)

Ramesh V
70 Points
										

For N-sided polygon,


sum of interior angles is (2n-4)*90 degrees


also Pi radians = 180 degrees


a) pentagon (n=5)


sum of interior angles = 540 deg


since its regular pentagon, each interior angle is same = 540/5 =108 degres = 1.884 radians


b) hexagon (n=6)


sum of interior angles = 720 deg


since its regular hexagon, each interior angle is same = 720/6 =120 degres = 2.093 radians


c) octagon (n=8)


sum of interior angles = 1080 deg


since its regular hexagon, each interior angle is same = 1080/8 =135 degres = 2.355 radians


d) polygon (n=15)


sum of interior angles = 2340 deg


since its regular hexagon, each interior angle is same = 2340/15 =156 degres = 2.721 radians


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Regards,

Naga Ramesh

IIT Kgp - 2005 batch

7 years ago
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