Find and interpret perimeter and circumference in numeric and contextual problems.
Use the circle boundary formula
Problem
A circle has a diameter of \(10~\text{cm}\). Calculate its circumference as an exact expression in terms of \(\pi~\).
Big Picture
What this problem is really about
Start by matching the requested quantity to a boundary formula: circumference is the distance around a circle. Because the given measurement is the diameter, use the form that multiplies diameter by pi directly, substitute with units, and keep pi symbolic for an exact expression. Squaring a length would switch to area and produce the wrong kind of units.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
