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5th grade math · Unit 9: Shapes and volume

Radius and diameter

What this lesson shows

A compass opened to 3 centimeters draws a circle. From the center to the edge is the radius, 3 cm. Edge to edge through the center is the diameter, 6 cm, twice the radius.

The worked example

The lesson works this one step by step: a circle, radius 3 cm. Then your kid tries one like it on paper.

The steps

  1. Center: where the compass point sits
  2. Radius: center to the circle
  3. Diameter: edge to edge through the center
  4. Diameter = 2 × radius
  5. Radius = diameter ÷ 2

Helping at home

Open a compass along a ruler to the radius, keep the point still, and turn the pencil around. The point is the center. The diameter goes edge to edge through the center: twice the radius. The radius is half the diameter.

If your kid gets stuck

Is the diameter one radius or two?

Watch it with Lux

With Lux, this lesson is a narrated video and a printed page your kid works on. Then Lux helps with the same math on their own worksheet, one question at a time.

See how Lux works

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