Lesson 1 Planning the Gazebo Develop Understanding

Ready

Use the given measurement to find the measure of the missing two values. (Leave in your answers.)

1.

Radius

Area

Circumference

2.

Radius

Area

Circumference

3.

Radius

Area

Circumference

4.

Radius

Area

Circumference

5.

Radius

Area

Circumference

6.

Radius

Area

Circumference

Set

For each of the regular polygons below, find the measure of the interior angle, the perimeter, and the area.

7.

Regular hexagon with one side 8 in
  1. Measure of one interior angle:

  2. Perimeter:

  3. Area:

8.

Regular pentagon with one side 6 cm.
  1. Measure of one interior angle:

  2. Perimeter:

  3. Area:

9.

Regular octagon with apothem 10 in.
  1. Measure of one interior angle:

  2. Perimeter:

  3. Area:

10.

A regular polygon with sides, one side is equal to :

  1. Measure of one interior angle:

  2. Perimeter:

  3. Area:

11.

A -gon with sides equal to :

  1. Measure of one interior angle:

  2. Perimeter:

  3. Area:

12.

A nonagon with side-lengths equal to :

  1. Measure of one interior angle:

  2. Perimeter:

  3. Area:

Go

Find the perimeter and area of each figure. (Your answers will contain variables.)

13.

Rectangle EFGH with FG = 3x 2 and HG = x-5

14.

Rectangle JKLM with JM = 3x and LM = 7x 2

15.

Rhombus NOPZ with NQ 6x 3 and altitude 6x 2

16.

Parallelogram TUVW with UT 3x-4 and UV 7x 4 and altitude 7x

17.

Label all of the segments or lines in circle with the term that describes it.

Circle P with various line segments and lines

18.

Identify each type of angle in circle . Label the intercepted arc.

Circle Q with different types of angles.