11.4 Area of Regular Polygons

Question 1

center of regular polygon

Answer 1

the center of the circle that’s circumscribed around the regular polygon

Question 2

radius of a regular polygon

Answer 2

the radius of the circle that is circumscribed about the polygon; it is the segment that joins the center of the circle with any vertex of the regular polygon

Question 3

apothem of a regular polygon

must be measured along a…

Answer 3

the distance between the center of the polygon and a side of the polygon
(…perpendicular segment)

Question 4

are all apothem soft a given polygons congruent?

Answer 4

YES!

Question 5

central angle of a regular polygon

Answer 5

an angle whose vertex is the center and whose sides contain consecutive vertices of the polygon

Question 6

area of a regular polygon thm

Answer 6

the area of a regular polygon is 1/2 the product of the apothem and the perimeter, or A=1/2aP

Question 7

area of an equilateral triangle thm

Answer 7

the area of an equilateral triangle is 1/4 the square of the length of the side times root 3, or A= 1/4s^2root 3