Area of Pentagon Formula

Latex A frac 5 2 times s. A pentagon is a five-sided polygon in geometry.


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Given s 10 cm a 5 cm area of a pentagon 52 sa area of a pentagon 52 X 10 X 5 cm.

. Area 5 x s 2 4tan36 o and. Area of Pentagon Using Formula. To find out the area of the pentagon with only the length of the side given there are two formulas.

A refers to the area. Similarly to find the area of the polygons- like the area of a regular pentagon area of the octagon go through the below formula. We can use any of them here we will use.

The formula calculates the area of a pentagon A frac 5. The area of a regular pentagon can be calculated using the length of its apothem and the length of one of its sides. Where p the.

14 5 525 5 2. When all the sides and the angles of a pentagon are of equal measure then it is called a regular pentagon. Pentagon area can be calculated by using the below formula.

The area of the pentagon is equal to frac 5 2 times the length of the apothem and the side of the pentagon. Area of Regular Pentagon 52. Area of a regular pentagon pa2 5sa2.

Area of Pentagon 14 5 525 s 2. Find the area of a pentagon of side 10 cm and apothem length 5 cm. The formula to calculate the area of the pentagon is.

A 1 2 bh 10 A 1 2 b h 10. Store it in. Thus area of one triangle is A 1 2 s a.

We have 10 10 such right triangles so we modify the triangle area formula and calculate the area of our regular pentagon. Text Adfrac a2 4timessqrt left 2510times sqrt 5right A 4a2 25 10 5 In this equation. The formula to calculate the area of the regular pentagon is given by.

Multiply the area of one triangle into 5 so that we can get the total area of the pentagon. Area of Regular Pentagon with Apothem. Pentgn_area mathsqrt552mathsqrt5powside_len 240 Calculate the perimeter of the given pentagon using the above given mathematical formula.

We can further modify this formula to include the. Given Side length s 5cm. Therefore we can use the following formula.

The area of the pentagon is equal to 52 times the length of the apothem and the. The value for the expression 14 5 525 is approximately. As there are five such triangles in one pentagon Area of Pentagon 5 2 a s.

The five angles present in the regular pentagon are equal. A 1 2 bh A 1 2 b h. Assume a pentagon is having side ss and length of apothem a.


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