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Calculate the area of the regular pentagon below: A regular pentagon with side length of 17.6 inches and dotted line from center to middle of side of 12.1 inches. 106.48 square inches 366.025 square inches
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May 18, 2017
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Calculate the area of the regular pentagon below:
A regular pentagon with side length of 17.6 inches and dotted line from center to middle of side of 12.1 inches.
106.48 square inches
366.025 square inches
451.78 square inches
532.4 square inches
Mathematics
middle-school
Chessdork
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Chessdork
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Your pentagon can be decomposed in 10 triangles (see the attached picture). Each triangle has an area
. Hence the total area is
Camilo Sampedro
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May 19, 2017
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Camilo Sampedro
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Area of the regular pentagon is 532.40 SQUARE INCHES.
Finding the Area of a regular pentagon, use this formula:
A = 1/4 √5(5+2√5) a²
where: a = side length.
A = 1/4 √5(5+2√5) (17.6in)²
A = 1/4 √5(5+2(2.24) 309.76 in²
A = 1/4 √5(5+4.48) * 309.76 in²
A = 1/4 √5(9.48) * 309.76 in²
A = 1/4 √47.4 * 309.76 in²
A = 1/4 * 6.88 * 309.76 in²
A = (1*6.88*309.76in²)/4
A = 2131.15 / 4
A = 532.79 in²
Leonardo Herrera
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May 23, 2017
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Leonardo Herrera
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