You can find the area of any regular polygon with this equation: 1/2ap where a is the apothem and p is the perimeter.
To find the perimeter, multiply 7 times 12 to get 84.
To find the apothem, divide 360 (the amount of degrees around the center of the polygon) by 7 (the amount of sides you have) to get about 51.43. This gives you the measure of the angle of one triangle connected to 2 adjacent vertices. You have to make this a right triangle so that you can use trigonometry to find the apothem, so divide that angle by 2 to get 25.72. You know the side opposite of this angle is 6 because it is half the amount of the side (remember we divided this triangle by 2). To find the apothem at this point, use trigonometry. tan25.72 = 6/x. The apothem is 12.46.
So, plug all of this into your calculator; a = 1/2(84)(12.46). You find the area to be about 523.3.
In regular quadrilaterals, it's length times width.
Length x Width ( L x W )
(3x2 √3) / 2 Where x is the length of a side, given that the hexagon is a regular hexagon. However, if the hexagon is is not regular, you will have to find the area of the two trapeziums within the hexagon, find the area of them, and add them together.
What is the area of a regular pentagon with side length of 9.4 feet and an apothem length of 6.5 feet
The area is about 41.57cm2
In regular quadrilaterals, it's length times width.
Length x Width ( L x W )
(3x2 √3) / 2 Where x is the length of a side, given that the hexagon is a regular hexagon. However, if the hexagon is is not regular, you will have to find the area of the two trapeziums within the hexagon, find the area of them, and add them together.
The area of a regular hexagon with side length of 20cm is about 1039.23cm2
(3x2 √3) / 2 Where x is the length of a side, given that the hexagon is a regular hexagon. However, if the hexagon is is not regular, you will have to find the area of the two trapeziums within the hexagon, find the area of them, and add them together.
Side length is about 58cm and the perimeter is about 348cm
The area of a given hexagon is equal to the area of an equilateral triangle whose perimeter is 36 inches. Find the length of a side of the regular hexagon.Click once to select an item at the bottom of the problem.
What is the area of a regular pentagon with side length of 9.4 feet and an apothem length of 6.5 feet
For a SQUARE, the area is (2r)2 because the length and width are the same. The apothem (radius) is used to find the area of other regular polygons.
The area is about 41.57cm2
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 area of a regular polygon with n sides is the half of the product of its perimeter and the apothem. So that you do not have enough information to find the area of the polygon (for example how many sides it has, or the side length).