Question

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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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Answer 1

• 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

`\\ \sf\longmapsto (360)/(40)`

`\\ \sf\longmapsto (36)/(4)`

`\\ \sf\longmapsto 9`

Answer 2

• 9 sides

Explanation:

Each central angle represents a side of the polygon.

The number of sides is:

• 360 / 40 = 9