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A regular 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 the central angles has a measure of 40°. How many sides does the polygon have?
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mhanifa

Answer:

  • 9 sides

Step-by-step explanation:

Each central angle represents a side of the polygon.

The number of sides is:

  • 360 / 40 = 9
  • Created angle=40°

We know in a circle the centre angle is 360°

  • Now each side is corresponded by the centre.

So number of sides of polygon

[tex]\\ \sf\longmapsto \dfrac{360}{40}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]