Uh-Oh! That’s all you get for now. Show We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now A nonagon is a polygon that has nine sides. In the figure below are several types of nonagons.  Nonagon classificationsLike other polygons, a nonagon can be classified as regular or irregular. If all the sides and interior angles of a nonagon are equal, it is a regular nonagon. Otherwise it is an irregular nonagon.
Nonagons and other polygons can also be classified as either convex or concave. If all interior angles of a nonagon are less than 180°, it is convex. If one or more interior angles is larger than 180°, it is concave. A regular nonagon is a convex nonagon.
Diagonals of nonagonA diagonal is a line segment joining two non-consecutive vertices. A total of twenty-seven distinct diagonals can be drawn for a nonagon. The following figure is an example. There are 6 diagonals extending from each of the 9 vertices of the nonagon above creating a total of 27 diagonals. Internal angles of a nonagonThe sum of the interior angles of a nonagon equals 1260°. As shown in the figure above, six diagonals can be drawn to divide the nonagon into seven triangles. The blue lines above show just one way to divide the nonagon into triangles; there are others. The sum of interior angles of the seven triangles equals the sum of interior angles of the nonagon. Since the sum of the interior angles of a triangle is 180°, the sum of the interior angles of the nonagon is 9 × 180° = 1260°. Regular nonagonA regular nonagon is a nonagon in which all sides have equal length and all interior angles have equal measure. Angles of a regular nonagonSince each of the nine interior angles in a regular nonagon are equal in measure, each interior angle measures 1260° ÷ 9 = 140°, as shown below. Each exterior angle of a regular nonagon has an equal measure of 40°. Symmetry in a regular nonagonA regular nonagon has 9 lines of symmetry and a rotational symmetry of order 9, meaning that it can be rotated in such a way that it will look the same as the original shape 9 times in 360°.
Page 2A three-dimensional space (3D) has three dimensions, such as length, width, and height (or depth). The term "3D" is commonly used to describe shapes and figures in geometry. We live in a 3D world, every object we touch, see, and use are 3D objects. The following is a few examples. 3D shapes and figuresWhile the dimensions of a 2D shape can be described with length and width, a 3D shape requires an additional dimension, often referred to as height or depth.
3D Coordinate geometryDetermining the position of a point in 3D is similar to determining the position of a point in 2D, except that there is a third axis, the z-axis, in addition to the x- and y-axes. All three axes are perpendicular to each other, as shown in the figure below. While the x- and y-axes in 2D are conventionally the horizontal and vertical axes, respectively, in 3D their orientations can vary. As such, when determining which direction to move along any axis, the negative and positive direction must be indicated on the axes, as in the image above. A negative value indicates movement along an axis in the negative direction, and a positive value indicates movement in the positive direction. As such, the point (2, 3, 4) indicates movement in the positive direction along each axis in the coordinate space above. See also geometric figures, 1D, 2D. |
What is the measure of interior angle of a regular nonagon?
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