How to Find the Area of a Regular Pentagon

The video tutorial explains how to calculate the area of a regular pentagon. It begins by introducing the concept of a regular pentagon and its properties. The formula for the area, which involves the apothem and perimeter, is discussed. The tutorial then delves into calculating central angles and using trigonometry to find the apothem. Finally, the video demonstrates the complete calculation process to find the area, emphasizing the use of a calculator for accuracy.

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

• Area = 1/2 * Apothem * Perimeter

• Area = 1/2 * Base * Height

• Area = Side^2 * 5

• Area = Perimeter^2 / 4

How do you determine the central angle of a regular pentagon?

• Add the side length to 360

• Subtract the side length from 360

• Multiply the side length by 5

• Divide 360 by the number of sides

Which trigonometric function is used to find the apothem in this context?

• Cotangent

• Tangent

• Cosine

• Sine

What is the simplified expression for calculating the area of the pentagon in this example?

• 20 * 4 / tangent 36

• 40 * 4 / tangent 36

• 10 * 4 / tangent 36

• 30 * 4 / tangent 36

What is the final calculated area of the pentagon in square inches?

• 100.2

• 110.1

• 120.5

• 130.3