Area Of A Pentagon Formula

Area of a pentagon 1 4 x 5 5 2 x 5 x 15 2. The area of this pentagon can be found by applying the area of a triangle formula.

Program To Find The Area Of Pentagon Geeksforgeeks

The area of a pentagon formula in mathematics can be given as area of a pentagon.

Area of a pentagon formula. Plug the apothem and the perimeter into the formula. Here is what it will look like. The area shown above is only the a measurement from one of the five total interior triangles.

The area of a rectangle is equal to the product of the length of its base and the length of its height. If you re using the formula area 1 2 x perimeter x apothem then you can plug in 120 for the perimeter and 10 3 for the apothem. Sometimes the height is called the altitude.

A pentagon having one of its side length as 15 mm. Area 60 x 10 3. The mathematical formula for the calculation is area apothem x perimeter 2.

Example questions using pentagon area formula. Area of a regular polygon formulas. Given s 10 cm a 5 cm area of a pentagon a 5 2 s a a 5 2 10 5 cm 2 125 cm 2.

To calculate the area of a regular pentagon the perimeter of the polygon is multiplied by the apothem and the result is divided in half. Thus to find the total area of the pentagon multiply. We can also call the longer side the length and the shorter side the width.

P 5s where s is the side length. Area n a cot π n 4. The page provides the pentagon surface area formula to calculate the surface area of the pentagon.

Area of a rectangle lw. Area 1 2 x 120 x 10 3. The most popular and usually the most useful formula is the one that uses the number of sides nand the side length a.

A regular pentagon means that all of the sides are identical and all angles are the same as each other. S is the side of the pentagon and a is the apothem length. If you don t know the perimeter calculate it from the side length.

Find the area of a pentagon of side 10 cm and apothem length 5 cm. Each triangle will have a base of and a height of. To find the surface area of a pentagon just multiply the side length with apothem length and then multiply the obtained value with the integer 5 and divide the resultant value by the integer 2.

Area of a regular pentagon pa 2 where p the perimeter and a the apothem. The area is defined as the space occupied within boundaries of the pentagon.

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