If you have the side length S, the formula is
1/4 sqrt [(25 +10 (sqrt5)] S2
which is approximately
1.720477 S2
where
1.72 S2 will be a good estimate
(see related link where side is not given)
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This was derived from the tangential formula A = (5/4) · s2 · tan(3π/10)
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Where only the side (S) is known, I use 5S2/4 tan36.
To find the area of a regular pentagon, you can use the formula area is equal to n multiplied by r raised to the second power time tan pi/n, where n is the number of sides or 5 and r is the radius. Using the formula, the area is 232.33 square meters.
the exterior of a regular pentagon is? the exterior of a regular pentagon is?
To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.
27.50 (:
the surface area formula is difficult to understand. there is another way to do it.you find the area of one pentagon. then u multiply it by the number of faces which is 12.
To find the area of a regular pentagon, you can use the formula area is equal to n multiplied by r raised to the second power time tan pi/n, where n is the number of sides or 5 and r is the radius. Using the formula, the area is 232.33 square meters.
The formula for the perimeter of ANY regular pentagon isPerimeter = 5 x (length of one side)
Volume is Area of the Base times the Height of the Prism. To find the area of a Regular Pentagon, you use the formula (1/2)*Perimeter*Length of Apothem.
the exterior of a regular pentagon is? the exterior of a regular pentagon is?
To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.
Basically, the same as the volume of any other pyramid: the volume is (1/3) x base x height. The "base" refers to the area of the base; for instance, if the base is a regular pentagon, use the formula for a regular pentagon.
124
To find the apothem length ( a ) of a regular pentagon, you can use the formula for the area ( A ) of a pentagon: [ A = \frac{1}{2} \times Perimeter \times Apothem ] The perimeter ( P ) of the pentagon is ( 5 \times \text{side} = 5 \times 8 = 40 ) in. Given the area ( A = 140 ) sq. in., we can rearrange the formula to find the apothem: [ 140 = \frac{1}{2} \times 40 \times a \implies 140 = 20a \implies a = \frac{140}{20} = 7 \text{ in.} ] Thus, the apothem length is 7 inches.
A regular pentagon has five (5) equilateral triangles within it. Find the area of each triangle (1/2bh where b is the base of the triangle or the length of a side of the pentagon, and h is the height of the triangle or the apothem of the pentagon) and multiply the area of the triangle times five (5).
To find the area of a regular pentagon with a side length ( s = 6 ) cm, you can use the formula ( \text{Area} = \frac{1}{4} \sqrt{5(5 + 2\sqrt{5})} s^2 ). Plugging in the value of ( s ): [ \text{Area} = \frac{1}{4} \sqrt{5(5 + 2\sqrt{5})} (6)^2 \approx 61.9 \text{ cm}^2 ] Thus, the area of the regular pentagon is approximately ( 61.9 ) cm².
To find the area, first divide the shape into regular, simple shapes. Then use formulas to find the area of the smaller, regular shapes. Lastly, add up all the smaller areas to find the area of the original shape.
27.50 (: