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Area of Decagon Calculator Online

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Area of Decagon Calculator

The Area of Decagon Calculator is a valuable tool designed to compute the area of a decagon based on the length of one of its sides. This calculator simplifies complex mathematical operations, allowing users to quickly and accurately determine the area of a decagon without manual calculations.

Formula of Area of Decagon Calculator

Area = (5/4) × (side length)^2 × (1/tan(π/10))

Where:

  • side length: the length of one side of the decagon.

Now, let’s explore how this calculator can be a practical asset in various scenarios.

General Terms Table

For ease of use, here’s a table of general terms related to the Area of Decagon that people commonly search for:

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TermDescription
DecagonA polygon with ten sides and angles.
Regular DecagonA decagon with all sides and angles of equal length.
ApothemThe distance from the center to the midpoint of a side.
Interior AngleThe angle formed inside the decagon between two sides.
CircumradiusThe radius of the circle circumscribing the decagon.

This table provides a quick reference for users, offering additional insights into related terms.

Example of Area of Decagon Calculator

Let’s consider a practical example. Suppose we have a regular decagon with a side length of 8 meters. Using the provided formula, we can calculate the area as follows:

Area = (5/4) × (8)^2 × (1/tan(π/10))

After performing the calculations, the Area of the Decagon is determined.

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Most Common FAQs

Q: What is a decagon?

A: A decagon is a polygon with ten sides and angles.

Q: How do I calculate the area of a decagon?

A: Use the formula: Area = (5/4) × (side length)^2 × (1/tan(π/10)), where the side length is the length of one side of the decagon.

Q: Why is the formula designed this way?

A: The formula incorporates trigonometric functions to account for the unique properties of a decagon.

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