How Do I Find the Area of a Pentagon

The area of a pentagon formula that is commonly used to find the area of a regular pentagon is Area of pentagon 12 p a. Area 12 x perimeter x apothem1 X Research source Here is what it means.

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The area of a regular pentagon is calculated by the formula.

. Area of pentagon 172 s 2. 172 5 2. A pentagon is a five-sided polygon in geometry.

Evaluate the area of the regular pentagon whose circum-radius is 2cm. The formula to calculate the area of the pentagon is frac52 times s times atextsqtextunits. The length of the apothem a a.

If all the sides of a pentagon are equal in length then it is a regular pentagon. Write down the pentagon area formula. Area of a Regular Pentagon Formula.

Assume a pentagon is having side s and length of apothem a The area of the pentagon is equal to frac52 times the length of the apothem and the side of the pentagon. For more in-depth learning check out Miacademyco httpswwwparentsmiacademy. In this non-linear system users are free to take whatever path through the material best serves their needs.

The number of sides n n. Area n a ri 2 having ri - incircle radius its also an apothem - a line segment from the center to the midpoint of one of its sides area perimeter ri 2 given ri and polygon perimeter. Substitute the values in the formula and calculate the area of the pentagon.

Therefore the area of a pentagon is 43 square units. Area of a pentagon 5 5 2 5 x P x P 100 which is our formula for finding the area of a pentagon using its perimeter. A regular pentagon is a five sided geometric shape whose all sides and angles are equal.

The Pentagon is the headquarters building of the United States Department of DefenseIt was constructed on an accelerated schedule during World War II. Area of Pentagon given side and apothem is given is defined as the space occupied by a pentagon and is represented as A 52 S r or Area 52 Side Apothem. 43 square units.

If you know all three numbers you can find the area A A by applying this. Area of Pentagon given radius calculator uses Area 52 Radius2 sinAngle A to calculate the Area Area of Pentagon given radius is given is defined as the space occupied by the pentagon in space. Virtual Nerds patent-pending tutorial system provides in-context information hints and links to supporting tutorials synchronized with videos each 3 to 7 minutes long.

Area of Regular Polygon Formula. The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back Apothem is defined as the radius of the. Area is denoted by A symbol.

Begin array lAfrac 1 4 sqrt 5 52 sqrt 5 s 2end array. Area n ri² tan πn given ri. Similarly you can try the calculator to find the pentagon area with the following length of sides given.

In this article we will discuss about how to find the area of Pentagon. 1 side 7 units 2 side 12 units. A 1 2 a 5 s What if you do not know the apothem of your pentagon.

Up to 10 cash back To find the area of this pentagon divide the interior of the pentagon into a four-sided rectangle and two right triangles. Substituting the value of s from 2 in equation 1 we get Area of a pentagon 1 4 5 5 2 5 P 2 5 Area of a pentagon 1 4 5 5 2 5 x P x P 25. You must know these three facts about your regular polygon.

Learn how to find the area of polygonsWe hope you are enjoying this video. As a symbol of the US. Located in Arlington County Virginia across the Potomac River from Washington.

Perimeter the sum of the lengths of all the sides Apothem a segment that joins the polygons center to the midpoint of. A 5 Output. Military the phrase The Pentagon is often used as a metonym for the Department of Defense and its leadership.

The five angles present in the regular pentagon are equal. Identify and write down the side measurement of the pentagon. We know that the area of the regular polygon S 2 n4tan180n By substituting the values we get.

Program to Find Area of Pentagon. A 10 Output. A 3 2 54tan1805 A 454 tan 36 A 45 407265 A 452906.

To find the area of a pentagon with the apothem a and one side length s you use the area of a pentagon formula. Since there are two right triangles the sum of both will equal the area of the entire triangular top portion of the pentagon. To find the area of a regular polygon all you have to do is follow this simple formula.

Its interior angles are of 108 degrees each. Before jumping into the program directly lets first see how we calculate area of pentagon. Formula of Area of Pentagon.

Formula of Perimeter of Pentagon. Observe the following pentagon to see the apothem a and the side length s. These unique features make Virtual Nerd a viable alternative to private tutoring.

Step 1 Write down the formula for finding the area of a regular polygon. Area n a² cot πn 4. Therefore the area of a regular pentagon 15485 cm 2.

172 25. Here p is the perimeter and a is the apothem of the pentagon. The formula calculates the area of a pentagon A frac 5 2 times s times a Where s is the side of the pentagon and a is the length of the apothem.

However given other parameters you can also find out the area. Follow these steps to calculate area of pentagon. The length of any one side s s.

The area of the bottom rectangle can be found using the formula.

How To Find The Area Of A Pentagon Formula Video