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Apothem

The perpendicular distance from the center to a side of a regular polygon.

A = 1/2 Pa

formula for area of a regular polygon

A=πr²

Area formula with radius

center of regular polygon

The point of intersection of the perpendicular bisectors of the sides

Inscribed Circle

Inside circle

radius

From center to a point on the circle.

Circumscribed Circle

Outside circle

Central Angle

an angle whose vertex is the center of the circle

Isosceles

two sides have the same length

Yes

In each regular polygon, will the triangles be congruent?

It's the Same

How does the number of triangles formed in each polygon compare with the number of sides?

altitude

What is the apothem called In a triangle?

A= s • a /2

Area of isosceles triangle in terms of a and s

Area of the hexagon

A= 6 • s • a/2

Area of any n-gon-

A= n • s • a/2

perimeter

N•S

360/n

How to find the measure of the central angle in a regular polygon-

Aera

Apothem • perimeter /2

Trigonometry to find the missing segment lengths

When you find the area of regular polygons other than equilateral triangle, squares and hexagons you will need to use..

1/2 (bh)

Area of a triangle

bh

Area of a Parallelogram

s ^ 2

Area of a square

(DD)/2

Area of a rhombus

Area of a trapezoid

1/2 (b+b)h or mh

1/2 (ap)

Area of a regular polygon

Area of a Circle

pi r ^ 2

Circumference

2πr

sin

opp/hyp

cos

adj/hyp

tan

opp/adj

(b+b)/2

Median of a trapezoid