What Is The Formula For Area Of A Regular Pentagon The area of a pentagon formula can be used to find the area of any regular pentagon You can calculate the area of a regular pentagon by using the following 3 step method Step One Identify the value of s the side length of the pentagon Step Two Plug s into the area of a pentagon formula A 1 4 x 5 5 2 5 x s 2 and solve for A
Aug 3 2023 0183 32 Solution Here we will use an alternative formula Area A 1 2 215 P 215 a here P 70 cm a 9 634 cm 1 2 215 70 215 9 634 337 19 sq cm With Side Length The formula to find the area of a regular pentagon with side length is given below Area of Pentagon with Side Length Let us solve an example We can use this formula to find the area of a regular pentagon text Area of regular pentagon frac 1 2 times text perimeter times text apothem Area of regular pentagon 21 215 perimeter 215 apothem The perimeter of the pentagon can be found by multiplying the side length by 5 5
What Is The Formula For Area Of A Regular Pentagon
What Is The Formula For Area Of A Regular Pentagon
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There are three simple formulas for finding area of a regular pentagon They are given as A 0 25s2 25 10 5 A 2 5sa A 0 5pa Where A is the area s is the side length a is the apothem length and p is the perimeter
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What Is The Formula For Area Of A Regular Pentagon
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Jan 16 2023 0183 32 Area of a pentagon formula To find the area of a pentagon with the apothem a and one side length s you use the area of a pentagon formula A 1 2 215 a 215 5 s A frac 1 2 times a times 5 s A 2 1 215 a 215 5 s
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The area of a regular pentagon is calculated by the formula begin array l A frac 1 4 sqrt 5 5 2 sqrt 5 s 2 end array where s is the side length of a pentagon Solved Examples on Area of Pentagon Formula Question 1 Find the area of a pentagon of side 10 cm and apothem length 5 cm Solution Given s 10 cm a 5 cm
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The formula used to find the area of a regular pentagon is Area of regular pentagon frac 1 4 sqrt 5 5 2 sqrt 5 s 2 s the length of the side of the regular pentagon Example Find the area of a regular pentagon whose side is 5 units Solution Area of regular pentagon frac 1 4 sqrt 5 5 2 sqrt 5 s 2 Given s
https://www.cuemath.com/measurement/area-of-pentagon
The basic formula for the area of a regular pentagon is Area of pentagon 1 2 215 p 215 a where p is the perimeter of the pentagon and a is the apothem of a pentagon However there is no defined formula for the area of an irregular pentagon
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Jan 18 2024 0183 32 Area A of a regular pentagon can be calculated from the formula area a 178 215 25 10 5 4 where a is a side of a regular pentagon Also you can find the area having the circumscribed circle radius area 5R 178 215 5 5 2 4 where R is the circumcircle radius
The area of a regular pentagon can be calculated using the length of its apothem and the length of one of its sides Therefore we can use the following formula A frac 5 2 times s times a A 25 215 s 215 a where s is the length of one of Feb 8 2024 0183 32 The coordinates of the vertices of a regular pentagon inscribed in a unit circle relative to the center of the pentagon are given as shown in the above figures with The circumradius inradius sagitta and area of a regular pentagon of side length are given by where is the golden ratio The height of a regular pentagon of side length is given by
Area of approximately 1 7204774 215 s 2 where s side length Any pentagon has Sum of Interior Angles of 540 176 5 diagonals Make a Regular Pentagon You can make a regular pentagon with a strip of paper Start with a long strip of paper make sure it is the same width all along if you want the pentagon to be regular Make a quot pretzel quot knot