Whats the area of a circle if the radius is 12?
2 Answers
The area of the circle is
Explanation:
The formula for the area of a circle is:
Simplify.
Explanation:
The area of a circle with radius
So if
Bonus
Why is the area of a circle given by the formula
All circles are similar. So the ratio between the circumference and the diameter is always the same. We call that ratio pi, represented by the Greek letter
To find the area of a circle, we can split it into equal segments and rearrange them head to tail to form a sort of bumpy parallelogram.
The length of the base of the parallelogram will be about
This works better the smaller the segments, but here's an animated illustration I constructed with just