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