फाइंड थे मेजर आफ ईच एक्सटीरियर एंगल आफ ए रेगुलर पॉलिगंस हेविंग 12 साइड
Answers
Answer:
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Step-by-step explanation:
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Answer:
No matter the shape, a regular polygon can have its exterior angles add to no more than 360°. Think: to go around the shape, you make a complete circle: 360°.
So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.
[insert carefully drawn regular dodecagon]
That was the easy part. The interior angles of a dodecagon are a bit harder. You can use this generic formula to find the sum of the interior angles for an n-sided polygon (regular or irregular):
Sum of interior angles = (n-2) x 180°
Sum of interior angles = 10 x 180° = 1800°
Once you know the sum, you can divide that by 12 to get the measure of each interior angle:
1800°/12 = 150°
This means each side intersects the next side only 30° less than a straight line! That is one of two reasons drawing a regular dodecagon freehand is so difficult. The other reason is the difficulty of drawing 12 equal-length sides.
To calculate the perimeter of a regular dodecagon, multiply one side's measurement, s, times 12:
Perimeter = 12 x s
Length of one side: 17 mm
Perimeter: 12 x 17 mm = 204 mm
Step-by-step explanation:
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