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Using trigonometry and the sine rule the area of the regular 5 sided pentagon with a perimeter of 50cm works out as 172.048 square cm rounded to 3 decimal places.

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What is the formula for calculating the area of a regular pentagon?

The formula is 1/2 (apothem) (perimeter)


What is the area and the perimeter 7cm by 6cm?

Area 42 cm2, perimeter 26 cm.


Find 4 rectangles with same area with different perimeter?

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What is the area of a regular pentagon given the apothem of 4?

The area ( A ) of a regular pentagon can be calculated using the formula ( A = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} ). For a regular pentagon with an apothem of 4, we first need the perimeter. The perimeter ( P ) can be found using the formula ( P = 5s ), where ( s ) is the length of one side. However, without knowing the side length, we can use the relationship between the apothem and side length in a regular pentagon, leading to the area being ( A = \frac{5 \times s \times 4}{2} ). Assuming ( s ) as 4 (for simplicity), the area would be ( A = 40 ).


What is the area and the perimeter of a regular pentagon having one of its sides equal to 18 cm?

The perimeter of the pentagon would be 18 x 5 = 90 centimetres. The area of the pentagon, rounded to two decimal places, would be (5 x 182 x tan(54))/4 = 272.89 cm2.


What is the area of a regular pentagon with a side length of 9.4 feet and an apothem length of 6.5 feet?

The area ( A ) of a regular pentagon can be calculated using the formula ( A = \frac{1}{2} \times \text{perimeter} \times \text{apothem} ). The perimeter of the pentagon is ( 5 \times 9.4 = 47 ) feet. Thus, the area is ( A = \frac{1}{2} \times 47 \times 6.5 = 152.75 ) square feet.


How do you use the word pentagon in a sentence for math?

The boy had to find the area and perimeter of the pentagon.


Area of a pentagon with a perimeter of 45 feet?

Area = 139.36 ft2


What is the area of a regular pentagon with a side length of 9 millimeters and an apothem length of 6.2 millimeters?

The area of a regular pentagon can be calculated using the formula: ( \text{Area} = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} ). For a pentagon with a side length of 9 mm, the perimeter is ( 5 \times 9 = 45 ) mm. Using the apothem length of 6.2 mm, the area is ( \frac{1}{2} \times 45 \times 6.2 = 139.5 ) square millimeters. Thus, the area of the pentagon is 139.5 mm².


What is the formula for calculating the area of the pentagon shape?

add all of the triangle area in a pentagon to get areaThe area A of a regular polygon with n sides each s units long, perimeter p, and apothem a:A = (ans)/2 or A = (ap)/2.


What is the area of a regular pentagon with perimeter 75m?

About 387 m^2 1.72*s^2 s=perimeter/5 s=75/5=15 1.72*15*15=387


What is the area of a pentagon having a perimeter of 150 feet?

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