Step by step
The question
Question: find the area of a circle with radius 7 cm.
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 = 7.
A = π × 72
7² means 7 times 7.
That is 49.
72 = 7 × 7 = 49
So A = π × 49.
A = π × 49
We write it as 49π.
We keep π in the answer.
That is the exact answer.
A = 49π cm2
2 About how much
To see about how much, put 3.14 for π.
A ≈ 49 × 3.14
49 times 3.14 is 153.86.
So the area is about 153.86 cm².
A ≈ 153.86 cm2
Let's look back.
First: use the rule.
Last: about how much.
Answer
A ≈ 153.86 cm2