Chapter 11.4-11.6

Question 1

Thm 11.4 Areas of Regular Polygons

Answer 1

A= v3/4 * s^2

Question 2

Center of a regular polygon

Answer 2

Center of the circumscribed about the polygon.

Question 3

Radius of a regular polygon

Answer 3

Radius of the circumscribed circle.

Question 4

Apothem of a regular polygon

Answer 4

Distance between the center and a side.

Question 5

Central angle of a regular polygon

Answer 5

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 is one-half of the product of the apothem (a) and the perimeter (p).

Question 7

Circumference

Answer 7

Distance around a circle

Question 8

Thm 11.8 circumference of a circle

Answer 8

The ratio of the circumference (c) and the diameter (d) of any circle is pi so, the circumference of a circle is c=pid = 2pir

Question 9

Arc length

Answer 9

Fraction of the circumference of a circle.

Question 10

Arc length corollary

Answer 10

Arc length=2pir (X/360)

Question 11

11.9 area of a circle

Answer 11

A=pir ^2

Question 12

Sector of a circle

Answer 12

Region bounded by two radii of the circle and their intercepted arc.

Question 13

Thm 11.10 area of a sector

Answer 13

Pir^2 (X/360)

Question 14

Segment of a circle

Answer 14

Region of a circle bounded by a chord and its intercepted arc.

Question 15

Minor segment

Answer 15

Segment whose arc

Question 16

Area of a minor segment

Answer 16

(Area of a sector) - (area of the triangle)