Any plane geometry figure that is bounded by straight lines connecting to form a closed shape is termed as the polygon. A regular polygon is one whose sides and angles are equal. A circle touching all the vertices of a triangle or polygon is known as circumcircle. The below given online Regular Polygon Circumcircle Area calculator assists you to find the area of the circumcircle that is formed on a regular polygon using the number of sides and length of the side.

Any plane geometry figure that is bounded by straight lines connecting to form a closed shape is termed as the polygon. A regular polygon is one whose sides and angles are equal. A circle touching all the vertices of a triangle or polygon is known as circumcircle. The below given online Regular Polygon Circumcircle Area calculator assists you to find the area of the circumcircle that is formed on a regular polygon using the number of sides and length of the side.

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A regular polygon has 8 sides with each side having a length of 5 cm.

Circumradius (r) = l / (2 x sin( π / n ))

= 5/(2 x sin (3.14 / 8))

= 6.53 cm

Area of the polygon = ( n x l^{2} ) / ( 4 x tan( π / n ) )

= (n x 5^{2}) / (4 x tan(3.14 / 8)

= 120.657 cm^{2}

Circumcircle Area = 3.14 x r^{2}

= 3.14 x 6.53^{2}

= 134.028 cm^{2}