Math Drills · Grade 3 (Elementary School)

Circles and Spheres

4 free maths worksheets for “Circles and Spheres” in Grade 3 (Elementary School). Download the question and answer PDFs and print them, no sign-up needed.

Worksheets
Circles and Spheres

What this unit covers

This unit makes the relationship between center, radius and diameter usable inside a diagram. Lengths are traced through figures of three, four and five overlapping circles, and the work extends to spheres packed in a tube or a box, where a diameter or a radius has to be recovered from the container.

The central error is swapping radius and diameter, which makes the answer twice or half of what it should be. With packed spheres, the length of a tube holding three balls is reported as a single diameter. With overlapping circles, the radius of the shared part is counted twice and the total length comes out too long.

The topic of shape moves on from figures bounded by straight sides to round ones. The way of grouping shapes was already practiced in Triangles and Quadrilaterals in grade 2. From this way of seeing a circle, through its center and radius, the viewpoint switches, once Triangles is studied, to noticing the properties of sides instead.

Learning steps

  1. Overlapping CirclesThree CirclesFour CirclesFive Circles
  2. Packing Spheres in a BoxTube Length→Sphere Diameter, RadiusSphere Radius→Tube LengthBox Length, Width→Sphere Diameter, RadiusSphere Radius→Box Length, Width

Worksheets

Overlapping Circles

Overlapping Circles3

Calculation

  • Three Circles1 question
  • Four Circles1 question
  • Five Circles1 question

Packing Spheres in a Box

Packing Spheres in a Box

Word Problems

  • Tube Length→Sphere Diameter, Radius1 question
  • Sphere Radius→Tube Length1 question
  • Box Length, Width→Sphere Diameter, Radius1 question
  • Sphere Radius→Box Length, Width1 question

Frequently asked questions

What do the “Circles and Spheres” worksheets for Grade 3 (Elementary School) practice?
They cover problems such as Three Circles, Four Circles, Five Circles, Tube Length→Sphere Diameter, Radius, Sphere Radius→Tube Length, Box Length, Width→Sphere Diameter, Radius, Sphere Radius→Box Length, Width.
How many “Circles and Spheres” worksheets are there for Grade 3 (Elementary School)?
4 worksheets are free to use. Every one is a printable PDF and comes with an answer key.

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