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Apothem and Area of Polygons

Apothem and Area of Polygons

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the area of a regular hexagon using different methods. It starts with the formula for the area of a regular polygon and demonstrates how to calculate the apothem using a 30-60-90 triangle. An alternative method using tangent is also shown. Finally, the video illustrates how the hexagon can be divided into equilateral triangles to find the area, providing multiple approaches to solve the problem.

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27 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the side length used in the example for finding the area of a regular hexagon?

15 cm

20 cm

10 cm

5 cm

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

π × radius²

side × side

1/2 × apothem × perimeter

1/2 × base × height

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the central angle of a regular polygon?

Multiply 360 by the number of sides

Multiply 180 by the number of sides

Divide 360 by the number of sides

Divide 180 by the number of sides

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the role of the central angle in the calculation?

It helps divide the hexagon

It helps find the apothem

It helps find the radius

It helps find the side length

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the relationship between the number of sides and the central angle?

Equal

No relationship

Inversely proportional

Directly proportional

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is formed when the hexagon is split using the apothem?

45-45-90 triangle

30-60-90 triangle

Equilateral triangle

Scalene triangle

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the 30-60-90 triangle in this context?

It helps find the radius

It helps find the side length

It helps find the apothem

It helps find the perimeter

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