What is the relationship between the apothem and the area of a regular polygon?

The apothem is crucial for calculating the area of a regular polygon, as it helps determine the height of the triangles that make up the polygon.

If a regular polygon has 8 sides, what is it called?

A regular polygon with 8 sides is called an octagon.

What is the area of a regular polygon with a perimeter of 40 ft and an apothem of 10 ft?

The area is 200 ft², calculated using $$A = \frac{1}{2} a P = \frac{1}{2} \times 10 \times 40$$ .

What is the area of a regular pentagon with a side length of 6 ft and an apothem of 7.5 ft?

The area is 22.5 ft², calculated using $$A = \frac{1}{2} a P = \frac{1}{2} \times 7.5 \times (5 \times 6)$$ .

What is the formula for the area of a rectangle?

The area (A) of a rectangle can be calculated using the formula: $$A = l \times w$$ , where 'l' is the length and 'w' is the width.

What is the area of a regular dodecagon (12 sides) with an apothem of 5 ft?

The area can be calculated using the formula: $$A = \frac{1}{2} a P$$ , where P is the perimeter.

What is the significance of the number of sides in a regular polygon?

The number of sides determines the shape of the polygon and affects the formulas used to calculate its area and perimeter.

Resource Library

Math

Geometry

...

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, 2.G.A.1, 3.MD.D.8

Standards-aligned

Wayground Content

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Student preview

14 questions

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FLASHCARD QUESTION

Front

What is a regular polygon?

Back

A regular polygon is a polygon with all sides and all angles equal.

Tags

CCSS.2.G.A.1

FLASHCARD QUESTION

Front

What is the formula for the area of a regular polygon?

Back

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

What is an apothem in a polygon?

Back

An apothem is a line from the center of a regular polygon perpendicular to one of its sides.

FLASHCARD QUESTION

Front

How do you find the perimeter of a regular polygon?

Back

Tags

CCSS.3.MD.D.8

FLASHCARD QUESTION

Front

What is the area of a regular octagon with an apothem of 6 ft and sides of 5 ft?

Back

The area is 120 ft².

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

What is the area of a regular hexagon with a side of 15 ft and an apothem of 13 ft?

Back

The area is 585 ft².

Tags

CCSS.6.G.A.1

FLASHCARD QUESTION

Front

What is the formula to calculate the area of a triangle?

Back

Tags

CCSS.6.G.A.1

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