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Drawing Circumference of Circles Worksheet

This drawing circumference of circles worksheet has 5th grade students measure true-size circles, draw one with a compass, and find each circumference. An answer key is included for quick checking.

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About this resource

Description

The Drawing Circumference of Circles Worksheet helps students see where the circumference formula comes from. Circumference is the distance around a circle, and students find it by multiplying the diameter by 3.14. This printable gives 5th grade learners real circles to measure and one circle to draw on their own.

Students lay an inch ruler across each printed circle, through the center dot, to find its diameter. They write the radius as half of that length, then multiply by 3.14 to find the circumference. In the last problem, students open a compass to a radius of 0.75 inch, draw their own circle around the dot, and then find its diameter and circumference. Print the page at 100% size so the circles measure true to the ruler.

What’s Included

  • Two true-size printed circles to measure with an inch ruler
  • One compass task to draw a circle with a given radius
  • Diameter, radius, and circumference blanks for every circle, using C = 3.14 × d
  • An answer key that shows each diameter, the drawn circle, and every circumference

3 Reasons This Worksheet Helps Kids

  • Measuring a real circle connects the diameter to the formula, so the math is not just memorized.
  • Drawing a circle with a compass shows that the radius is half of the diameter.
  • Multiplying a decimal by a whole number or a decimal gives extra practice with 5th grade decimal skills.

Ideas for Teachers and Parents

Use this 5th grade circumference worksheet as a hands-on warm-up before a geometry lesson. After students finish, have them measure round objects at home or in the classroom, like a cup, a clock, or a plate, and find each circumference. Students can check their answers by wrapping a string around the object and measuring the string. The Drawing Circumference of Circles Worksheet also works well in a math center with rulers and compasses ready to go.

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