What is the area of a regular pentagon with a side length of 10 cm and an apothem of 7.5 cm?

$$A = \frac{1}{2} \times 7.5 \times (5 \times 10) = 187.5 \text{ cm}^2$$ .

How do you calculate the area of a regular octagon?

Use the formula $$A = \frac{1}{2} a P$$ where a is the apothem and P is the perimeter.

What is the formula for the area of a triangle?

$$A = \frac{1}{2} b h$$ where b is the base and h is the height.

What is the area of a regular dodecagon with a side length of 12 cm and an apothem of 10.4 cm?

$$A = \frac{1}{2} \times 10.4 \times (12 \times 12) = 624 \text{ cm}^2$$ .

What is the significance of the apothem in calculating the area of regular polygons?

The apothem is crucial for determining the area as it connects the center to the midpoint of a side.

If the perimeter of a regular polygon is 60 cm and the apothem is 10 cm, what is the area?

$$A = \frac{1}{2} \times 10 \times 60 = 300 \text{ cm}^2$$ .

What is the area of a regular hexagon with a side length of 6 cm?

$$A = \frac{1}{2} \times 5.196 \times (6 \times 6) = 93.53 \text{ cm}^2$$ .

What is the formula for the area of a rectangle?

$$A = l \times w$$ where l is the length and w is the width.

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Math

Geometry

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7 2 Area Of Regular Polygons

7-2 Area of Regular Polygons

Flashcard

•

Mathematics

•

7th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

6.G.A.1, 3.MD.D.8, 3.MD.C.7B

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the apothem of a regular polygon?

Back

A line from the center of a regular polygon at right angles to any of its sides.

FLASHCARD QUESTION

Front

What is the formula to find the area of a regular polygon?

Back

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

How do you find the area of a regular hexagon?

Back

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

What is the perimeter of a regular polygon?

Back

The total length of all its sides.

Tags

CCSS.3.MD.D.8

FLASHCARD QUESTION

Front

If a regular hexagon has a side length of 15 ft and an apothem of 13 ft, what is its area?

Back

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

What is the area of a regular polygon with an apothem of 8 cm and a perimeter of 40 cm?

Back

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

What is the relationship between the side length and the apothem in a regular polygon?

Back

The apothem is shorter than the radius and is used to calculate the area.

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