Polygon Properties Quiz
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Questions and Answers

What is a polygon with 9 sides called?

  • Heptagon
  • Octagon
  • Decagon
  • Nonagon (correct)

    • What is the boundary of a region of the plane that is called a solid polygon?

  • Body (correct)
  • Interior
  • Area
  • Polygonal chain

    • What does a simple polygon not do?

  • Have vertices
  • Lie in a single plane
  • Have edges
  • Intersect itself (correct)

    • What do you call the points where two edges of a polygon meet?

    <p>Vertices or corners</p> Signup and view all the answers

    From which languages does the word 'polygon' derive?

    <p>Greek and Latin</p> Signup and view all the answers

    What is the method for computing the length of a closed piecewise smooth plane curve?

    <p>L = ∫ a b √(x ′ ( t ) 2 + y ′ ( t ) 2) d t</p> Signup and view all the answers

    Who is the mathematician known to have approximated the perimeter of a circle by surrounding it with regular polygons?

    <p>Archimedes</p> Signup and view all the answers

    Which theory describes the generalized notion of perimeter for hypersurfaces bounding volumes in n-dimensional Euclidean spaces?

    <p>Caccioppoli sets theory</p> Signup and view all the answers

    Why are polygons fundamental to determining perimeters?

    <p>Because they are the easiest shapes to calculate with</p> Signup and view all the answers

    How is the length L of a closed piecewise smooth plane curve related to x'(t) and y'(t)?

    <p>L = |x'(t)| * |y'(t)|</p> Signup and view all the answers

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