a regular polygon is inscribed in a circle. if a side subtends an angle of 30° at the centre ,what is the number of its sides ?
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If a side substends an angle of 30°.
Then,
angle between the sides = 180° - 30°
= 150°
Interior angle in a regular polygon
= 180° ( n-2 )/n
So,
150° = 180° ( n-2 )/n
150°*n = 180°* n - 360°
30° n = 360°
n = 12
So,
Sides = 12.
Hope this may help you.....
Asking questions is a sign of intelligency.
Then,
angle between the sides = 180° - 30°
= 150°
Interior angle in a regular polygon
= 180° ( n-2 )/n
So,
150° = 180° ( n-2 )/n
150°*n = 180°* n - 360°
30° n = 360°
n = 12
So,
Sides = 12.
Hope this may help you.....
Asking questions is a sign of intelligency.
SparshGupta:
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