# How do you find the area of a decagon with a radius of 5?

Table of Contents

## How do you find the area of a decagon with a radius of 5?

Examples on Area of Decagon

1. As we know, the area of the decagon = 5a2/2 × √5+2√5.
2. ⇒ Area of a decagon = 5 × 102/2 × √5+2√5.
3. ⇒ Area of a decagon = 250 × √5+2√5 5 + 2 5 ≈ 769.42 square units. Therefore, the area of the regular decagon is 769.42 square units.

## How do you find the radius of a decagon?

r = s/2sin(180/n) where r is the radius, s is the length of any side, n is the number of sides and the angle measure is in degrees.

How do you find the area of a regular dodecagon?

The formula for finding the area of a regular dodecagon is: A = 3 × ( 2 + √3 ) × s2 , where A = the area of the dodecagon, s = the length of its side. For example, if the side of a regular dodecagon measures 8 units, the area of this dodecagon will be: A = 3 × ( 2 + √3 ) × s2 .

### What’s a regular decagon?

Types of Decagons: Decagons can be categorized as regular and irregular. A regular decagon is a decagon with all sides equal in length and all the angles equal in measure. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.

### How do you find the area of a 10 sided shape?

Solution: Given, side of a regular decagon = 2 units. The formula to find the area of a decagon = 5a22×√5+2√5 5 a 2 2 × 5 + 2 5 , where a is the measurement of the side of the decagon. Therefore, the area of the given regular decagon is 30.77 square units.

How do you find the area of a 10 sided polygon?

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon’s center to the midpoint of any side that is perpendicular to that side.

## How many sides does a regular decagon have?

ten sides
A decagon can be defined as a polygon having ten sides, ten interior angles and ten vertices.

## What is regular decagon?

A regular decagon has all sides of equal length and each internal angle will always be equal to 144°. Its Schläfli symbol is {10} and can also be constructed as a truncated pentagon, t{5}, a quasiregular decagon alternating two types of edges.

How many sides does a regular decagon?