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Area 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 area of a circle with radius 3.

1 Use the rule

π is a special number for circles.

It is about 3.14.

The area of a circle is π times the radius squared: A = π × r².

So we write A = π × r².

A = π × r2

Now put the numbers in: r = 3.

A = π × 32

3² means 3 times 3.

That is 9.

32 = 3 × 3 = 9

So A = π × 9.

A = π × 9

We write it as 9π.

We keep π in the answer.

That is the exact answer.

A = 9π

2 About how much

To see about how much, put 3.14 for π.

A ≈ 9 × 3.14

9 times 3.14 is 28.26.

So the area is about 28.26 square units.

A ≈ 28.26

Let's look back.

First: use the rule.

Last: about how much.

Answer
A ≈ 28.26

Your turn

Try this one yourself, then check:

Find the area.
Show the answer
A ≈ 50.24

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