Geometry/Trig 2 Name __________________________Section 11-4 Notes Date _______________ Block ______

Regular Polygon:______________________________ _____________________________

Regular Triangle : _______________________________________________________

Regular Quadrilateral: ____________________________________________________

Regular Parallelogram: ____________________________________________________

•The _________ of a regular polygon is the __________ of the circumscribed circle. •The _________ of a regular polygon is the distance from the center to the __________.•The __________________ of a regular polygon is an angle formed by two __________ drawn to two ______________ vertices.•The _________ of a regular polygon is the perpendicular distance from the center of a polygon to a _______.

Formula for Area of Regular Polygons

a = __________

p = __________

Example 1: Find the area and perimeter of a regular octagon with side of 5 and apothem of 3.

Example 2: Find the area of a regular triangle with a side length of 8.

Area = __________

Perimeter = __________

Area and Perimeter of Regular Polygons

Example 3: Find the area and perimeter of a regular hexagon with apothem of 6.

Example 4: Find the area and perimeter of a regular hexagon with side of 12.

Geometry/Trig 2Section 11-4 Notes

Area = __________

Perimeter = __________

Area = __________

Perimeter = __________

Area = __________

Perimeter = __________

Area = __________

Perimeter = __________

Example 5: Find the area and perimeter of a regular quadrilateral with a radius of 6.

Example 6: Find the area and perimeter of a regular hexagon with apothem of 5.