Steply

Circumference of circle diameter 8 m

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 diameter 8 m.

1 Find the radius

The diameter goes all the way across, through the middle.

The radius goes from the middle to the edge.

It is half of the diameter.

Half of 8 is 8 divided by 2.

r = 82

8 divided by 2 is 4.

So r = 4 m.

r = 4 m

2 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 = 4.

C = 2 × π × 4

2 times 4 is 8.

We write it as 8π.

We keep π in the answer.

That is the exact answer.

C = 8π m

3 About how much

To see about how much, put 3.14 for π.

C ≈ 8 × 3.14

8 times 3.14 is 25.12.

So the circumference is about 25.12 m.

C ≈ 25.12 m

Let's look back.

First: find the radius.

Then: use the rule.

Last: about how much.

Answer
C ≈ 25.12 m

Your turn

Try this one yourself, then check:

Find the circumference.
Show the answer
C ≈ 28.26 m

More from Perimeter and area

The whole lesson: Perimeter and area →