Problem preview
MF.GM.2 Standard MF-049-A06-V01

Find and interpret perimeter and circumference in numeric and contextual problems.

Use circumference in a real-world situation

Problem

A circular gift box has a diameter of \(12~\text{inches}\). Calculate the exact length of ribbon needed to wrap once around the box.

Big Picture

What this problem is really about

A single wrap of ribbon follows the circular boundary, so the needed length is a circumference. Identify the supplied measure as a diameter and use the diameter form of the formula directly, keeping pi symbolic because an exact length is requested. Treating the diameter as a radius would introduce an extra factor of two.

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Four variants of this problem type
Curriculum context
Standard
MF.GM.2
Category
Geometry and Measurement
Domain
Plane Measurement
Objective
Find and interpret perimeter and circumference in numeric and contextual problems.
Problem type
Use circumference in a real-world situation