Chapter 11.4: Areas of Regular Polygons

Question 1

Thm. 11.6 - Area of an Equilateral Triangle

Answer 1

the area of an equailateral triangle is one-fourth the square of the length of the side times root 3, or A-1/4root3s2.

Question 2

Center of a regular polygon

Answer 2

the center of a circumscribed circle is the center of a regular polygon.

Question 3

Radius of a regular polygon

Answer 3

the radius of a circle is the radius of the regular polygon.

Question 4

Apothem

Answer 4

the apothem of a regular polygon is the distance between the center and a side.

Question 5

Central angle of a regular polygon

Answer 5

a central angle of a regular polygon is an angle whose vertex is the center and whose sides contain two consecutive vertices of the polygon.

Question 6

Thm. 11.7 - Area of a Regular Polygon

Answer 6

the area of a regular polygon if half the product of the apothem, a, and the perimeter, p, or A=1/2ap.