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 TOPICS This page:   practical   geometry    Search   Dr. Math See also the Dr. Math FAQ:   geometric   formulas Internet Library:   geometry HIGH SCHOOL About Math Analysis Algebra    basic algebra    equations/graphs/      translations    linear algebra    linear equations    polynomials Calculus Complex Numbers Calculators/    Computers Definitions Discrete Math    permutations/    combinations Exponents    Logarithms Fibonacci Sequence/   Golden Ratio Fractals Functions Geometry    Euclidean/plane      conic sections/        circles      constructions      coordinate plane      triangles/polygons    higher-dimensional      polyhedra    non-Euclidean    practical geometry    symmetry/tessellations History/Biography Interest Logic Negative Numbers Number Theory Physics/Chemistry Probability Projects Puzzles Sequences/Series Sets Square/Cube Roots Statistics Transcendental   Numbers Trigonometry Browse High School Practical Geometry Stars indicate particularly interesting answers or good places to begin browsing. Planar Approximation: Latitude and Longitude [04/18/2003] I am trying to calculate the midpoint between cases of legionella and their nearest neighbor. How can I calculate the distance between two points below which they can be treated as if they were in a plane rather than on a sphere? A Practical Use for the Orthocenter [03/07/2001] Does the orthocenter of a triangle have any practical uses? Pyramid Construction [05/24/1997] How do you figure out the angles necessary to construct a pyramid out of plywood? A 'Pyramiddle' Tent Problem [07/12/1999] Figure out an equation that yields d when values for h and r are inserted. Radius of an Arch [05/25/1998] Is there a formula to calculate the radius of a circle given the chord length and the distance from the centre of the chord to the circle? Ratios and Geometry [10/29/1998] An airplane flying at 33,000 feet has a visibility of 100 miles. What percent of the total land area to the horizon is visible? Ratios, Geometry, Trigonometry [06/10/1999] A homeschool teacher asks for help with triangles, flagpoles, and circles. Rectangle Needed To Make Cone [9/5/1996] I want to make a lampshade by rolling a piece of paper into a non-closed cone shape... Reflective Properties of a Semicircular Mirror [05/16/2000] What are the reflective properties of a semicircular mirror? Will a ray exit a semicircular mirror parallel to its entry line? Resolving Pitch and Yaw [02/10/2003] Is there an equation to find the resultant of pitch and yaw? Reuleaux Curve Applications [05/25/2002] What is the Reuleaux curve used for? Rhumb Lines and Great Circle Routes [09/24/1998] Can you explain great circles and rhumb lines and how they relate to shortest distances in geometry? Roof Rafters [02/03/1997] What is the formula that gives the length of a roof rafter if only the pitch of the roof is known? Rotating a Plane about a Point in Space [07/03/2004] Discussion of a method of rotating the three points of a right triangle around a point to align with a given plane in a particular way. Scanning for Mountains [06/02/1999] I am standing on a hill scanning the horizon to see a mountain. How high must the mountain be for high-tech optical equipment to be any use? Segment of an Ellipse [09/06/2001] We often use horizontal oval tanks for storing drinking water and fuel, and we would like to be able to calculate the contents. Setting Sun [5/19/1995] A fellow Naval retiree and I have been discussing whether the sun appears to set faster at the horizon near the equator than it does in the northern latitudes... Sextant Theorem [05/13/2001] What mathematical theorem is behind using a sextant, and can it be proved? Side Length of Octagon Inscribed in Square [9/11/1996] I have a piece of square plywood (48" on a side) and I would like to cut an octagon out of the middle. What is the side length of the octagon? Sixteen-sided Window [08/05/1997] I would like to make a sixteen-sided window for the second floor hallway of my twin girls' playhouse. Sizing a Connector [06/01/2001] I have to come up with a specific diameter for anywhere from 2 to 91 diameters that are bunched together. The application is round wires. Spine Doctoring: Fitting Some Books on a Shelf, Finding a Textbook in Error [02/08/2016] An adult student and Doctor Peterson go back and forth on a textbook problem about how many books a bookcase can hold. Together, they puzzle over how to interpret the question and how to model the scenario, before ultimately concluding that the textbook authors made a mistake. Spiral Baffle in a Cylinder [6/24/1996] We have a cylinder, 48 inches in diameter, to put a spiral baffle inside... What would the radius be? Surveyor's Formula [06/05/1999] Can you give me a method to calculate the area of an irregular polygon given all the coordinates of the points? Swimming Pool Volume [02/28/2002] What formula would I use to calculate the volume in gallons of a swimming pool 135' x 70' with different depths of 3', 5', 8' and 11'? Tanker Bearings [06/11/2000] From ship A, the bearing of an oil tanker is 300 degrees; from ship B, 1000 m due west of A, the bearing of the tanker is 060 degrees. Is the oil tanker the same distance from A as from B? Tape Measure Markings [8/11/1997] What is the small diamond on all tape measures that occurs every 19.2 inches for? Teaching about Bearings [06/08/2000] What are bearings? Do you have any ideas on how I can present bearings to my math class in an interesting fashion? Tiling a Floor [06/30/1999] How many square yards is a 12ft. by 15ft. room? How many 8" x 8" tiles would you need for a 30 sq. ft. room? Tipped and Partially Filled Frustum [12/14/2003] A vessel in a plant where I work is the frustum of a cone on its side. A liquid is contained in this section and pours out the end of the cone section, therefore the liquid only takes up a certain portion of the cone's volume. How can I compute the volume of the liquid? Total Area of Multiple Objects [07/18/2002] I have 6 windows and want to know the total square feet. Do I compute the areas separately, or add the dimensions and use those to compute the area all at once? Triangular Garden [03/18/1997] Find the length of a fence that runs from the right angle to the hypotenuse and separates the garden into two parts of equal perimeter. Truncating a Square to Get an Octagon [10/13/2003] I want to make an octagon by cutting the corners off of a square. Where do I make the cuts? Using Geometry to Make a Roof [8/30/1995] I'm not a student but a wood worker with a question on solid geometry. I want to know how to calculate the angle on the sides of triangles in order to form a cone shaped (not round but angular) roof. Variable Volumes in an Oblate Spheroid [12/21/2002] We need to know how much water is in the tank at any given time. Volume of a Cylindrical Tank [2/3/1995] I have to keep an inventory of how much is kept in a farm of tanks outside my school. The tanks are cylindrical, which would be no problem if they were standing on end... Volume of a Pond [2/1/1995] I need to have a large pond cleaned at my place of employment. The pond is completely filled with waste material and I would like to know how many cubic yards are in the pond to remove. Volume of Dirt [09/29/1997] You have a mound of dirt that is 2 meters high with a bottom radius of 1 meter... Volume of Liquid in a Cylindrical Tank [05/08/2000] How can I calculate volume of liquid in a cylinder that's not full and lying horizontally? Volume of Partially Full Cylinder on its Side [12/31/2001] I am in charge of ordering fuel for our company, and the way the owner calculates the volume is via a grossly simplified percent full guesstimation... Page: []

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