Areas Of Regular Polygons

Question 1

Apothem

Answer 1

A segment joining the center to the midpoint of any side

Question 2

Basic area of a regular polygon

Answer 2

The apothem times the perimeter over 2

Question 3

Area of hexagon

Answer 3

Apothem times the perimeter over 2

Question 4

Area of an octagon

Answer 4

Area times apothem over 2

Question 5

How do you find the apothem of an octagon

Answer 5

You draw two apothem a that form a right angle. You turn that into a square. The area outside the octagon is a 45-45-90 triangle (side of octagon is equal to long side). Easy solve from there

Question 6

Radius

Answer 6

A segment joining the center to any point/vertex