PPolygon Problems & Solutions

Explore various problems related to polygons with detailed solutions. Learn more about regular polygons.

Problem 1

A regular hexagon is inscribed in a circle of radius 10 cm. Find the length of one side of the hexagon.

Hexagon inscribed in a circle
Solution:

Problem 2

A regular pentagon is circumscribed around a circle of radius 6 cm. Find the length of one side of the pentagon (approximate to two decimal places).

Pentagon inscribed in a circle
Solution:

Problem 3

Find the area of a dodecagon with side length 6 mm (approximate to one decimal place).

Solution:

Problem 4

Show that as the number of sides \( n \) of a polygon inscribed in a circle of radius \( R \) increases, the area of the polygon approaches the area of the circle.

Solution:

More References and Links

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