Perimeter and Circumference Quiz

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.