Mathematics, 22.08.2021 06:50, aliveajones2005

PLEASE show all work calculate the area for each of the polygons described below. Round answers to the nearest hundredth and remember to include the unit of measure.
For #3, 4, and 5, divide the polygon into triangles to get the answers

EXAMPLE: Find the area of a nonagon with a side of 8 inches.

Find the measure of one base angle.
central angle = 360/9 = 40
2 * side angle + central angle = 180
2 * side angle + 40 = 180
2 * side angle = 140
side angle = 70°

Use a trig ratio to find the height of one triangle.
tan(70°) = h/(8/2)
h = 4tan(70°)
h = 10.99 in

Use A = 1/2 bh to find the area of one triangle.
A = 1/2 (8)(10.99)
A = 43.96 in2

Find the area of the entire polygon.
A = 43.969
A = 395.64 in2

QUESTIONS

3. A regular pentagon with a side of 3 centimeters

4. A regular hexagon with a side of 10 cm

5. A regular heptagon with a side of 7 inches.

Answers: 1

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PLEASE show all work calculate the area for each of the polygons described below. Round answers to...