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Area of Pentagon Formula

A pentagon can be classified as a regular pentagon and irregular pentagon. Calculate the area of the pentagon.


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Suppose a regular pentagon has a side of 6 6 cm.

. All regular polygons have an apothem. Formula to calculate the area of a pentagon. In which a The Pentagons side length.

A 1 4 s 2 c o t 36 o. Where s is the side of the pentagon and a is the apothem length. It is given by-Area of Pentagon 52 side length Apothem length To get more.

Area of pentagon formula. Draw five lines from the center of the pentagon to each vertex. In geometry we study different shapesThe 2-dimensional shape made up of only straight line segments is known as a polygon.

Use the formula Area 52 s a. FAQs Based on Area of Polygon Formula. Area of a Pentagon Formula.

What is the area of a polygon. The apothem is perpendicular to the side. A length of apothem.

The Pentagons area with given side length 10 1720477400588967 The. The formula of this approach is easy when compared to the above approach formula. Where a is the side length.

Lets use an example to understand how to find the area of the pentagon. Area of Regular Pentagon 14 5525 a 2 square units. In that case the area of the pentagon can be found by using the formula.

This formula is more complicated but it allows us to calculate the area of a regular pentagon simply with the length of one of its sides. The apothem of a pentagon is a line segment from the center of the pentagon to a side of the pentagon. Below here we have provided some of the most asked questions related to the area of a polygon.

Apothem is a line from the center. It may be simple or complex depends on the nature of the problem. The apothem is a straight line from the centre of the pentagon to the side intersecting the side at a 90ยบ right angle.

The above formula gives the area of one triangle only in terms of its side. Area of Pentagon 52 x s x a. Where s length of a side.

Most of the common type of Pentagon that is followed during construction as well as a Regular Polygon having all equal. Where a is the side length of the pentagon. Where s is the side length and a is the.

Area of Regular Hexagon 33a 22 Square units. The area of a regular polygon is one-half the product of its apothem and its perimeter ie Area 1 2 a p where a is the length of an apothem and p is the perimeter. Proof of the formula for the area of a pentagon To.

Find the length of the side of the pentagon. When all the sides and the angles of a pentagon are of equal measure then it is called a regular pentagon. Identify the apothem length of the pentagon.

Area and perimeter of a regular pentagon area a². To find the area of the pentagon we multiply it by 5 as done earlier. Area 52 x s x a.


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