The apothem is 12.5 metres.
Split it into 2 30- 60- 90 triangles (split it in half) then times the short leg ( the side of the hexagon) by the square root of 3 for the apothem (4 x \/3 = apothem)
An apothem is a line segment from the center of a regular polygon to the midpoint of a side.
if you know the height and the apothem, use pythagorean theorem to solve for it.
yes
Perimeter = 2*Area/Apothem.
The apothem is 12.5 metres.
First you must determin what the "apothem" is, and by that i mean what the hell that word means.
Find the apothem of a regular polygon with an area of 625 m2 and a perimeter of 100 m.
Split it into 2 30- 60- 90 triangles (split it in half) then times the short leg ( the side of the hexagon) by the square root of 3 for the apothem (4 x \/3 = apothem)
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.
No, that is not correct.
130 to find the area of any regular polygon, multiply the perimeter by one-half the apothem. This is the same as multiplying the side-lengths by the number of sides by one-half the apothem.
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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.
The perimeter of a hexagon with an apothem of 12 is 83.14