1 Questions
How is the length of a closed piecewise smooth plane curve?
It is calculated using a definite integral
Study Notes
Perimeter Definition
- A perimeter is a closed path that surrounds or outlines a 2D shape or a 1D length.
Perimeter Applications
- Calculating the perimeter has several practical applications, including determining the length of fence required to surround a yard or garden.
- The perimeter of a wheel or circle (its circumference) describes how far it will roll in one revolution.
- The perimeter of a spool is related to the amount of string wound around it, with the length of the string equaling the perimeter if exact.
Perimeter Formula
- The perimeter is the distance around a shape, calculable as ∫ 0 L d s {\textstyle \int _{0}^{L}\mathrm {d} s}, where L {\displaystyle L} is the length of the path and d s {\displaystyle ds} is an infinitesimal line element.
- To be practically calculated, L {\displaystyle L} and d s {\displaystyle ds} must be replaced by algebraic forms.
Test your knowledge of perimeter and circumference with this quiz! Explore the concepts of calculating the perimeter of various shapes and the circumference of circles and ellipses. Challenge yourself with practical applications of perimeter calculations, such as determining the length of fencing needed for a yard or garden.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
