10-3 Areas of Regular Polygons

To find the area of a regular polygon

In finding the area of a regular polygon, students will find a polygon of n sides to be composed of n congruent triangles and find the areas of those triangles. As a result, they will determine a formula for the area of a regular polygon.

10-3 Quiz

• The following questions are to help you decide how well you understood today’s lesson.

• Please make sure you ask questions when you miss one so you don’t make the same mistakes on your homework!

• Remember to record the number you get right on your portfolio sheet!

1. Given the regular polygon, find the measure of each numbered angle.

12

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2. Find the area of a regular hexagon with an apothem 16.5 feet long and a side 19 feet long. Round your answer

to the nearest tenth.

A. 156.3 ft2

B. 625.3 ft2

C. 940.5 ft2

D. 1875.8 ft2

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3. Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth.

A.55.4 m2

B. 166.3 m2

C. 83.1 m2

D.288 m2

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4. Find the area of an equilateral triangle with side 12.

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5. Find the area of the regular polygon. Round your answer to the nearest tenth.

10 in.

13.07 in.

A.176.6 in.2

B. 966.1 in.2

C. 80.0 in.2

D.483.0 in.2

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ASSIGNMENTASSIGNMENT10-3 p.632-633

#8-34 evenBe sure to RATE your understanding of the lesson

4-3-2-1-0 after you finish it AND give me one complete sentence as to why you rated yourself that way then summarize what the lesson was

about in a sentence or two.