A circle with a radius of 4cm 5mm is divided by points into six equal parts find the perimeter

| March 12, 2021 | education

A circle with a radius of 4cm 5mm is divided by points into six equal parts find the perimeter of a polygon with vertices at these points

If the circle is divided by points into six equal parts, then connecting each pair of adjacent points we get six equal chords of this circle.
It is clear that these chords will be the six sides of a regular hexagon inscribed in a circle. In turn, a circle with a radius of 4 cm 5 mm will be circumscribed around a regular hexagon, a circle.
We know that the side of a regular hexagon is equal to the radius of the circle circumscribed around it. Therefore, the side of a regular hexagon is 4 cm 5 mm = 4 cm + (5: 10) cm = 4.5 cm, since 1 cm = 10 mm.
Thus, if a circle with a radius of 4 cm 5 mm is divided by points into six equal parts, then the perimeter of the polygon with vertices at these points is 6 * 4.5 cm = 27 cm.
Answer: 27 cm.



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