Math Drills

Circles and Regular Polygons worksheets for Grade 5 (Elementary School)

What this unit covers

Once the properties of regular polygons are confirmed, the work moves to circumference as diameter times 3.14. Finding it from a radius, recovering a diameter from a circumference, and then the perimeters of composite figures such as semicircles, quarter circles, three-quarter circles, annuli, track shapes and S-shapes all follow.

When a circle is given by its radius, multiplying that radius by 3.14 directly halves the answer, and this is the standard error. Around a semicircle, children find the arc alone and forget to add the diameter. With a quarter circle, many finish without adding the two radii.

Learning steps

Properties of Regular Polygons

  • Properties of Regular Polygons

Circumference of a Circle

  • From the Diameter
  • From the Radius
  • Finding the Diameter
  • From the Diameter (Word Problems)
  • From the Radius (Word Problems)
  • Finding the Diameter (Word Problems)

The Circumference of Various Circles

  • Semicircle (From the Diameter)
  • Semicircle (From the Radius)
  • Quarter Circle
  • Quarter Circle (2)
  • Three-Quarter Circle
  • Annulus (Donut)

Perimeter of Composite Figures

  • Rectangle − Semicircular Notch
  • Rectangle + Semicircle on One Side
  • Convex and Concave Mixed
  • Track Shape
  • S-Shape and Comma Shape
  • Combining Large and Small Semicircles
  • Square + Quarter-Circle Arcs
  • Star Shape from Quarter Circles at the Four Corners

Worksheets

Properties of Regular Polygons

Circumference of a Circle

  • Calculation

    • From the Diameter2 questions
    • From the Radius2 questions
    • Finding the Diameter2 questions
  • Word Problems

    • From the Diameter (Word Problems)2 questions
    • From the Radius (Word Problems)2 questions
    • Finding the Diameter (Word Problems)2 questions

The Circumference of Various Circles

  • Calculation

    • Semicircle (From the Diameter)1 question
    • Semicircle (From the Radius)1 question
    • Quarter Circle (2)1 question
    • Quarter Circle1 question
    • Three-Quarter Circle1 question
    • Annulus (Donut)1 question

Perimeter of Composite Figures

  • Calculation (Rectangle and Semicircle)

    • Rectangle − Semicircular Notch1 question
    • Rectangle + Semicircle on One Side1 question
    • Convex and Concave Mixed1 question
    • Track Shape1 question
  • Calculation (S-Curves, Stars, and More)

    • S-Shape and Comma Shape1 question
    • Combining Large and Small Semicircles1 question
    • Square + Quarter-Circle Arcs1 question
    • Star Shape from Quarter Circles at the Four Corners1 question

Frequently asked questions

What do the “Circles and Regular Polygons” worksheets for Grade 5 (Elementary School) practice?
They cover problems such as Properties of Regular Polygons, From the Diameter, From the Radius, Finding the Diameter, From the Diameter (Word Problems), From the Radius (Word Problems), Finding the Diameter (Word Problems), Semicircle (From the Diameter).
How many “Circles and Regular Polygons” worksheets are there for Grade 5 (Elementary School)?
16 worksheets are free to use. Every one is a printable PDF and comes with an answer key.

All Grade 5 (Elementary School) units