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Circumference of circle radius 3

Step by step, with the reason for every step · Perimeter and area · Geometry

Step by step

The question

Question: find the circumference of a circle with radius 3.

1 Use the rule

π is a special number for circles.

It is about 3.14.

The circumference is the way around the circle.

It is 2 times π times the radius: C = 2 × π × r.

So we write C = 2 × π × r.

C = 2 × π × r

Now put the numbers in: r = 3.

C = 2 × π × 3

2 times 3 is 6.

We write it as 6π.

We keep π in the answer.

That is the exact answer.

C = 6π

2 About how much

To see about how much, put 3.14 for π.

C ≈ 6 × 3.14

6 times 3.14 is 18.84.

So the circumference is about 18.84.

C ≈ 18.84

Let's look back.

First: use the rule.

Last: about how much.

Answer
C ≈ 18.84

Your turn

Try this one yourself, then check:

Find the circumference.
Show the answer
C ≈ 12.56

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