pdf Circumference - B

Tagged in 7.G, 7.G.4, 7.G.6, 7.G.B.4, 7.G.B.6, 7th grade, circle formulas, circles, circumference, diameter, geometry, pi, radius

Circumference - B

This worksheet provides focused practice finding the circumference of circles when either the radius or diameter is given. Students strengthen their understanding that circumference represents the distance around a circle while learning to select the appropriate formula based on the information provided. A built-in reference and worked example model the process before students begin independent practice.

Students apply both \(C=\pi d\) and \(C=2\pi r\) across a variety of problems, reinforcing the relationship between radius and diameter while building confidence in choosing the correct strategy. When only the radius is provided, students recognize the need to determine the diameter before comparing methods and checking their work for accuracy.

Problems include a variety of measurements and units, with answers rounded to the nearest tenth. Students are also encouraged to estimate whether their results are reasonable by recognizing that a circle's circumference is a little more than three times its diameter. This combination of conceptual understanding and procedural practice prepares students for more advanced applications involving circles.

This resource is ideal for introducing circumference, reinforcing formula selection, supporting guided or independent practice, and preparing students for geometry assessments involving circle measurement.


Skills Assessed

  • Understanding circumference as the distance around a circle
  • Selecting and applying \(C=\pi d\) and \(C=2\pi r\)
  • Converting between radius and diameter
  • Rounding answers to the nearest tenth
  • Estimating to verify the reasonableness of solutions

Details

  • 12 circumference problems
  • Radius and diameter given in multiple units
  • Built-in instructional reference and worked example
  • Answers rounded to the nearest tenth
  • Answer key included

ID# 0108