Lesson 1 Planning the Gazebo Develop Understanding

Ready

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

1.

Radius $=$ $1 m$

Area $=$

Circumference $=$

2.

Radius $=$

Area $=$ $9 π {ft}^{2}$

Circumference $=$

3.

Radius $=$

Area $=$

Circumference $=$ $8 π yds$

4.

Radius $=$

Area $=$ $3.14 {cm}^{2}$

Circumference $=$

5.

Radius $=$ $7 mi$

Area $=$

Circumference $=$

6.

Radius $=$

Area $=$ $81 π {in.}^{2}$

Circumference $=$

Set

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

7.

Measure of one interior angle:
Perimeter:
Area:

8.

Measure of one interior angle:
Perimeter:
Area:

9.

Measure of one interior angle:
Perimeter:
Area:

10.

A regular polygon with $14$ sides, one side is equal to $6 inches$ :

Measure of one interior angle:
Perimeter:
Area:

11.

A $24$ -gon with sides equal to $12 meters$ :

Measure of one interior angle:
Perimeter:
Area:

12.

A nonagon with side-lengths equal to $8 yards$ :

Measure of one interior angle:
Perimeter:
Area:

Go

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

13.

14.

15.

16.

17.

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

18.

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