Circumference of a Circle (A) - Find the Circumference and Solve Word Problems

Sep 23, 2026

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Worksheet on finding the circumference of circles using C = πd or C = 2πr. Students express answers exactly in terms of π and approximately using π ≈ 3.14, for multiple given diameters and radii in units such as centimeters, meters, feet, inches, and yards. Includes word problems about a circular park, a circular track, a coin, and a wheel, plus a challenge involving inner and outer circumferences for a running track. An answer key provides worked results.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

Part 1—Find the Circumference

Problems 1-6

Part 2—Word Problems

Problems 7-10

Challenge Problem

Inner vs. Outer Circumferences

Name: ______________________________________ Circumference of a Circle (A) Remember: Circumference is the distance around a circle. C = πd or C = 2πr where π ≈ 3.14. Express answers in terms of π (exact) AND as a decimal (approximate) . Directions: Find the circumference of each circle. Express each answer in terms of π and as a decimal (use π ≈ 3 . 14) . Part 1—Find the Circumference 1.) C = π ≈ cm 3.) C = π ≈ ft 5.) C = π ≈ yd 2.) C = π ≈ m 4.) C = π ≈ in 6.) C = π ≈ cm Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) Part 2—Word Problems 7.) A circular park has a diameter of 15 feet. What is the circumference? Work: C ≈ 8.) A circular track has a radius of 50 meters. How far is one lap? Work: C ≈ 9.) A coin has a diameter of 2.4 cm. What is its circumference? Work: C ≈ 10.) A wheel has a circumference of 62.8 inches. What is its diameter? Work: C ≈ Challenge Problem | | | --- | | | | | a) A circular running track has an inner radius of 40 m and an outer radius of 43 m. b) Find the difference between the outer and inner circumferences (to the nearest tenth) . Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com) ANSWER KEY Part 1: 1.) C=πd=π×8=8π ≈ 25.1 cm 2.) C=πd=π×10=10π ≈ 31.4 m 3.) C=πd=π×14=14π ≈ 43.98 ft 4.) C=πd=π×6=6π ≈ 18.85 in 5.) C=πd=π×9=9π ≈ 28.27 yd 6.) C=πd=π×13.0=13π ≈ 40.84 cm Part 2: 7.) C=π×15 47.1 ft 8.) C=2π×50 314 m 9.) C=π×2 .4 7.54 cm 10.) d=C÷π=62 .8÷3 .14 20 in Challenge: a) Inner C = 2π×40 ≈ 251.3 m b) Outer C = 2π×43 ≈ 270.2 m. Difference ≈ 18.9 m Mashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)

FAQs

What formulas are used to find the circumference of a circle?

Use C = πd or C = 2πr, where d is diameter and r is radius.

How should answers be written on this worksheet?

Each answer must be given exactly in terms of π and also approximately using π ≈ 3.14.

What does the challenge problem ask students to do?

It asks for the inner and outer circumferences of a track (using inner radius and outer radius) and then the difference between them to the nearest tenth.

Sep 23, 2026

Upload by Aurelia