Math Drills
Circumference of a Circle
B-3Word Problems
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What this worksheet covers
- Worksheet
- Circumference of a Circle
The same circle drawings and scenes come up in three directions: finding the circumference from a given diameter, finding it from a given radius, and tracing a diameter back from a circumference. Each is built with a calculation carrying a drawing and word problems set in scenes such as a tire, a pond or a tree trunk.
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In the question tracing a diameter back from a circumference, the usual hand comes out and 3.14 gets multiplied in. The product is larger than the circumference given, so a figure larger than the circumference standing in the diameter box gives it away. Multiply the diameter found back by 3.14 and the circumference in the question returns just as it was.
Handling one whole circle by itself runs only to this lesson. In The Circumference of Various Circles the partner becomes a circle cut in half or in quarters, and the straight parts get added alongside the arc.
- From the Diameter (Word Problems)2 questions
- From the Radius (Word Problems)2 questions
- Finding the Diameter (Word Problems)2 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Circles and Regular Polygons”, shown with their answers.
(1)A round mirror has a diameter of 40cm. What is the perimeter of this mirror in how many cm? Answer □
Answer: 125.6cm
(2)A car's tire has a diameter of 60cm. When this tire makes 1 turn, how many cm does it move forward? Answer □
Answer: 188.4cm
(3)The short hand of a clock has a radius of 10cm. When the short hand makes 1 turn, how many cm does the tip of the hand move? Answer □
Answer: 62.8cm
(4)The outer edge of a merry-go-round has a radius of 5m. When the outer edge makes 1 turn, how many m does it move? Answer □
Answer: 31.4m
(5)A round mirror has a circumference of 157cm. What is the diameter of this mirror in how many cm? Answer □
Answer: 50cm
(6)When you measure around a tree's branch, the circumference is 21.98cm. What is the diameter of this branch in how many cm? Answer □
Answer: 7cm
What to do next
More worksheets in this unit
Circumference of a CircleCircumference of a Circle Calculation
The Circumference of Various CirclesThe Circumference of Various Circles Calculation
Perimeter of Composite FiguresPerimeter of Composite Figures Calculation (Rectangle and Semicircle)
Perimeter of Composite FiguresPerimeter of Composite Figures Calculation (S-Curves, Stars, and More)
