Circumference of a Circle—Word Problems - (B) - The Clock Shop - Practice Questions

Sep 23, 2026

Uploaded by Mimi

Circumference of a Circle—Word Problems (B) focuses on using π ≈ 3.14 and the relationships C = πd and C = 2πr to solve real-world clock measurements. Students calculate circumferences from given diameters or radii, compute how much larger one circular clock circumference is than another, and convert from an approximate circumference to find a radius. The worksheet emphasizes showing all work and rounding answers to the nearest tenth (or hundredth of a foot). An answer key provides step-by-step solutions for each problem.

LanguageEnglish

CategoryExam

FormatPDF

Pages3

Reading Time8 min

AccessFree to download

The Clock Shop

Problem Set

Answer Key

Name: ______________________________________ Circumference of a Circle—Word Problems ( B) Remember: C = πd or C = 2πr, where π ≈ 3.14. To find d or r from C: d = C ÷ π and r = C ÷ (2π) . Express answers to the nearest tenth unless told Directions: Show all work. Express answers to the nearest tenth unless told otherwise. Use π ≈ 3.14. The Clock Shop 1.) The Clock Shop sells three sizes of circular clock faces: a grandfather clock with a diameter of 18 inches, a wall clock with a diameter of 10 inches, and a pocket watch with a radius of 1.5 inches. Find each of the following: a.) The circumference of the grandfather clock face (to the nearest tenth) . b.) The circumference of the wall clock face (to the nearest tenth) . c.) The circumference of the pocket watch face (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) 2.) A clockmaker is building a custom clock with a radius of 7.5 inches. What is the circumference of the clock face (to the nearest tenth of an inch)? 3.) The Clock Shop has two decorative clocks in the window display: a large clock with a diameter of 4 feet and a small clock with a diameter of 2.5 feet. How much larger is the circumference of the large clock than the circumference of the small clock (to the nearest hundredth of a foot)? 4.) A circular clock face has a circumference of approximately 47.1 inches. What is the approximate radius of the clock face (to the nearest tenth of an inch)? 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 1. a. ) Grandfather clock: C = πd → C = π × 18 ≈ 56.5 in b. ) Wall clock: C = πd → C = π × 10 ≈ 31.4 in c. ) Pocket watch: C = 2πr → C = 2 × π × 1.5 ≈ 9.4 in 2. C = 2πr → C = 2 × π × 7.5 = π × 15 ≈ 47.1 in 3. Large clock: C = π × 4 ≈ 12.57 ft Small clock: C = π × 2.5 ≈ 7.85 ft 12.57 − 7.85 = 4.72 ft The large clock’s circumference is 4.72 feet greater than the small clock’s. 4. C = π × d → 47.1 = π × d → d = 47.1 ÷ π ≈ 15 inr = d ÷ 2 = 15 ÷ 2 ≈ 7.5 in The radius is approximately 7.5 inches. 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 circumference in these problems?

Use C = πd or C = 2πr. The worksheet also uses π ≈ 3.14.

How do you find the diameter or radius when circumference is given?

Rearrange the formulas: d = C ÷ π and r = C ÷ (2π).

What rounding rules do the problems require?

Express answers to the nearest tenth unless told otherwise; one question asks for the nearest hundredth of a foot.

Sep 23, 2026

Uploaded by Mimi