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Find the Number of Sides in a Regular Polygon, If Its Exterior Angle is : 1/3 of Right Angle - Mathematics

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Question

Find the number of sides in a regular polygon, if its exterior angle is : `1/3` of right angle

Sum

Solution

Each exterior angle = `1/3` of a right angle

`= 1/3 xx 90`

= 30°

Let number of sides = n

`therefore 360^circ/"n" = 30^circ`

`therefore "n" = 360^circ/30^circ`

n = 12

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Regular Polynomial
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Chapter 16: Understanding Shapes - Exercise 16 (B) [Page 184]

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Selina Concise Mathematics [English] Class 8 ICSE
Chapter 16 Understanding Shapes
Exercise 16 (B) | Q 3.1 | Page 184
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