Some of the real-life uses of polar coordinates include avoiding collisions between vessels and other ships or natural obstructions, guiding industrial robots in various production applications and calculating groundwater flow in radially symmetric wells. Polar coordinates can also be used to determine the best audio pickup patterns for cardioid microphones. Calculations involving aircraft navigation, gravitational fields and radio antennae are additional applications in which polar coordinates are used.
Know MoreLike the Cartesian x- and y-axis system, polar coordinates exist within a two-dimensional plane. The points on the plane are determined by both their angle and distance from a fixed point, which is called a pole. The distance from the pole is called the radius or radial coordinate. The fixed-direction ray originating at the pole is the polar axis. The angle is referred to as the azimuth, polar angle or angular coordinate.
Learn more about Maps & CartographyTurtle shells, honeycombs, raspberries, quilts, fish scales and the art of M.C. Escher are just a few examples of real-life tessellations. Tessellations are patterns that repeat over and over without overlapping or leaving any gaps. Additional examples are snake skins, pineapples, origami and tile floors.
Full Answer >One example of real-life hexagons are the cells found in a honeycomb. Another example is most of the basalt rocks in the Giant's Causeway on the coast of Northern Ireland.
Full Answer >Real life examples of parallelograms include tables, desks, arrangements of streets on a map, boxes, building blocks, paper and the Dockland office building in Hamburg, Germany. A parallelogram is a two-dimensional shape that has opposite sides that are equal in length and parallel to each other, and opposite angles that are equal. Rectangles, squares and rhombuses are all parallelograms, so any object that has one of these shapes is a parallelogram.
Full Answer >Trigonometry has applications in a number of scientific fields, ranging from geography and astronomy to engineering and physics. One of the most important early real-life examples of trigonometry involved using the knowledge that the earth was a sphere for navigation. Ptolemy put trigonometry to work in his work "Geography", and Christopher Columbus used trigonometry in finding his way from Spain to what he thought was India but ended up being the New World.
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