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Elina [12.6K]
3 years ago
6

Aregular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Answer:

The number of sides the polygon have 9

Step-by-step explanation:

Given in question as :

For The circle ,  the central angles measure be 40 °

Let the number of sides of polygon =  n

Now . as we know

External angle =  \frac{360^{\circ} }{n}

Or ,           40° = \frac{360^{\circ} }{n}

Or, \frac{360^{\circ} }{n} = 40°

Or, \frac{360^{\circ} }{n} = 40°

So, n = \frac{360^{\circ} }{40^{\circ}} = 9

Hence The number of sides the polygon have 9      Answer

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