octagon
a polygon with eight sides and eight angles
An octagon is a polygon that has eight sides and eight angles. It is a 2D shape that can be regular or irregular. A regular octagon has eight equal sides and eight equal angles measuring 135 degrees each. The sum of all angles in an octagon is equal to 1080 degrees. The formula to find the interior angle of a regular octagon is (n-2)*180/n, in which n represents the number of sides of the polygon.
Octagons can be found in various objects such as stop signs, tiles, and architectural designs. They are also commonly used in geometry and mathematics for measuring angles, finding perimeter, area and other calculations.
When drawing an octagon, you can start by drawing a circle and dividing it into eight equal parts, then connect the points to form the sides. Alternatively, you can use a ruler and protractor to draw the sides of the octagon.
Octagons have symmetry properties, which allow us to divide them into equal parts and analyze their properties. They have rotational symmetry of order 8, meaning that it can be rotated about its center by an angle of 45 degrees to obtain the same shape. Additionally, octagons have reflectional symmetry with respect to their axis of symmetry.
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