5 Questions
How can the length of a closed piecewise smooth plane curve be computed?
$L = \int_{a}^{b}{\sqrt{x'(t)^{2}+y'(t)^{2}}},\mathrm{d}t$
Who is known to have approximated the perimeter of a circle by surrounding it with regular polygons?
Archimedes
What theory describes a generalized notion of perimeter for hypersurfaces bounding volumes in n-dimensional Euclidean spaces?
Caccioppoli sets
Why are polygons fundamental to determining perimeters?
Because they are the simplest shapes
What is the formula for calculating the perimeter of a polygon?
$P = \sum_{i=1}^{n}{\sqrt{(x_i - x_{i-1})^2 + (y_i - y_{i-1})^2}}$
Test your knowledge of perimeters and circumferences with this quiz. Explore the practical applications of calculating perimeters, such as determining the length of fence required for a yard or garden, or understanding the distance traveled in one revolution by a wheel or circle.
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