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In total the interior angles add to (8-2)*180 = 6*180 = 1080 degrees.
IF the octagon is regular, so that all of its angles are equal, then each one is 1080/8 = 135 degrees.
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What shape is an octagon?
Octagonal An octagon has eight sides and eight angles, and is a two-dimensional shape. In an equilateral octagon, each side has a degree measure of 135.
How do you construct an octagon with a given side?
a regular octagon has the same length all sides. so with the given angle draw 8 sides at an angle of 135 degrees from each other
What is the degree of each side of an octagon?
Sides are characterized by length, not by degrees. Angles are characterized by degrees.
How many degrees is one angle of a regular octagon?
you have to times 180 degrees by minus 2 of how many sides then divide it by how many side. 8-2=6 6x180=1080 1080divided by 8 = 135 degree is equal to 1 angle of a regular octagon. happy to help
What is the area of an octagon which is nine feet on each side?
The area of an octagon which is nine feet on each side equates to 391.1 feet2
What is the degree of a 6 sided octagon?
An octagon has 8 sides, not 6, and each internal angle is 45 degrees. A hexagon has 6 sides, and the internal angle between each side is sixty degrees.
What degree in each side of the octagon?
135
What shape is an octagon?
Octagonal An octagon has eight sides and eight angles, and is a two-dimensional shape. In an equilateral octagon, each side has a degree measure of 135.
How do you construct an octagon with a given side?
a regular octagon has the same length all sides. so with the given angle draw 8 sides at an angle of 135 degrees from each other
What is the degree of each side of an octagon?
Sides are characterized by length, not by degrees. Angles are characterized by degrees.
What is the length of each side of a regular octagon that has a total height of 85 inches.?
I'm not sure what you mean by "total height". I guess you mean the perpendicular distance between two parallel opposite sides. Draw the two diagonals to the opposite vertices from one side; they meet at the centre of the octagon, creating an isosceles triangle with the side of the octagon. The perpendicular height from the centre to the side is height/2 The angle at the centre is 360°/8 = 45° (as there are 8 such triangles). The angle at each end of the octagon side is (180° - 45°)/2 = 62.5° Drop a perpendicular from the centre of the octagon to the side of the octagon in this triangle. This forms a right angle triangle with one side height octagon/2, side octagon/2 and hypotenuse largest diagonal/2 → Tan 62.5° = (height/2) / (side/2) = height/side → side = height/tan 62.5° = 85in/tan 62.5° ≈ 44.25 in
8 side and 8 angle shape?
an Octagon
What is the measure of x the angle between a side of the octagon and a side of the nonagon?
60
How many degrees is one angle of a regular octagon?
you have to times 180 degrees by minus 2 of how many sides then divide it by how many side. 8-2=6 6x180=1080 1080divided by 8 = 135 degree is equal to 1 angle of a regular octagon. happy to help
What is the area of an octagon which is nine feet on each side?
The area of an octagon which is nine feet on each side equates to 391.1 feet2
If a regular octagon has a perimeter of 200 centimeters what is the measure of each interior angle and each side?
A regular octagon has a sum of 1080 degrees for all angles, 1080 degrees divided by 8 angles is 135 degrees per angle. The perimeter is 200 centimeters divided by 8 sides is 25 centimeters.
If an octagon has a circumference of 24 what is its diameter?
I assume that when you say "circumference", you really mean "perimeter" of the octagon. I also assume that by saying, "diameter", you really refer to the widest distance between two points on the octagon. An octagon has 8 sides, so if you divide 24 by 8, then you have 3 units of length per side. Then if you were to draw lines from the center of the octagon out to the ends of the segments of the perimeter, then those lines would be 45 degrees apart from each other. In order to find the "diameter", you need to find the length of one of those lines drawn from the center of the octagon, then double it. To do this, you need to perform some trigonometry. To perform the trig, the easiest thing would be to use a right triangle. By drawing a line from the center of the octagon, perpendicular (at a right angle) to one of the outside segments of the octagon, you bisect the 45 degree angle created by the two lines on either side of it. So then you have created a right triangle inside of the octagon, with a 1.5 unit long side, and an opposing 22.5 degree angle. In this case, you want to find out the length of the longest side of this triangle, which is the hypotenuse. So, the sine of the angle 22.5 degrees is equal to 1.5 units divided by the length of the hypotenuse. If you solve for the hypotenuse, you get 3.92 units, rounded. Double this gives you 7.84 units across the octagon.
