Geometric and Shape describes the dimensional that characterizes
Geometric _______ and ______
Shape _______ describes the ___-dimensional ______ that characterizes an object or area, in contrast to a ___-dimensional solid. Examples include:
Area ____ is the extent or measurement of a surface. All shapes represent enclosed twodimensional spaces, and thus have ____.
Circles A ______ is a ______ plane figure whose boundary consists of points equidistant from the ______.
Circles The _______ is the _______ and _______ of all the shapes. ____ are found within the geometry of countless engineered products, such as buttons, tubes, wires, cups, and pins. A ______ is also based on the simple circle.
Area of a Circle In order to calculate the ____ of a circle, the concept of (pi) must be understood. is a constant ____ that exists between the ______ of a circle and its ____. The ratio states that for every unit of ______ distance, the circumference (distance around the circle) will be approximately ______ units.
Area of a Circle To calculate the area of a ____, the ______ must be known. = 3. 14 r = _____ A = r 2
Ellipses An _____ is generated by a point ______ in a plane so that the ____ of its distances from two other points (the foci) is ______ and ____ to the major axis.
Ellipses To calculate the area of an _____, the lengths of the ______ and _____ axis must be known. a = major axis = 3. 14 A = (. 5 a)(. 5 b) b = minor axis A = area
Polygons A _____ is any plane figure bounded by straight lines. Examples include the ______, rhombus, and trapezoid.
Triangles A ______ is a three-sided polygon. The sum of angles of a triangle will always equal ____°. There are three types of triangles: • _____ triangle
Triangles The triangle is the ____, and most structurally ______ of all polygons. This is why triangles are found in all types of structural ____. T_____ are one such example. Light weight space frame roof system based on the Sign supporttriangle equilateral truss based on a right triangle.
Triangles Sometimes the terms inscribed and circumscribed are associated with the creation of _____ and other polygons, as well as area calculations.
Area of a Triangle To calculate the area of any triangle, the ____ and h______ must be known. b = _____ h = _____ A = area A =. 5(bh)
Quadrilaterals A ______ is a ____-sided polygon. Examples include the _____, rhombus, ____, and trapezium:
Parallelograms A ______ is _____ polygon with _______ sides ______. Examples include the _____, _______, rhombus and rhomboid
Parallelograms To calculate the area of a parallelogram, the _____ and ______ must be known. b = base h = height A = area A = bh
Regular Multisided Polygons A _________ has equal ______, and can be inscribed in or circumscribed around a circle. Examples of regular multisided polygons include the ____, ________, and ______.
Multisided Polygons To calculate the area of a multisided polygon, a side _____, distance between ______ (or diameter of inscribed circle), and the _____ of sides must be known.
Multisided Polygons Area calculation of a multisided polygon: s = _____ length f = distance between ______or diameter of inscribed circle n = ____ of sides s(. 5 f) A = area A=n 2
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