Step by step
The question
Question: find the surface area of a sphere (a ball) with radius 1 m.
1 Use the rule
Cut the ball in half.
The flat circle inside has area π × r².
The skin of the ball covers exactly 4 of these circles.
Like the peel of an orange.
π is a special number for circles.
It is about 3.14.
So the surface area is S = 4 × π × r².
Now put the numbers in: r = 1.
1² means 1 times 1.
That is 1.
So S = 4 × π × 1.
4 times 1 is 4.
So S = 4π.
We keep π in the answer.
That is the exact answer.
2 About how much
To see about how much, put 3.14 for π.
4 times 3.14 is 12.56.
So the surface area is about 12.56 m².
Let's look back.
First: use the rule.
Last: about how much.