How to find the number of sides in a polygon if the angle between the two in-circle radii is 20?
| April 8, 2021 | education
In the task, we need to use geometric properties:
1) if a circle can be inscribed into a polygon, then this polygon is regular (all sides and angles are equal).
2) the radius of the inscribed circle passes to the middle of each side.
3) in order to find the number of sides, you need to find the number of radii 360/20 = 18.
So our answer is 18 sides.
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