All of us memorized the area formula of a circle, A = πr 2 (where r is the radius of the circle), in high school, but w

[answerhappygod]

All of us memorized the area formula of a
circle, A = πr 2 (where r is
the radius of the circle), in high school, but where does it come
from? It’s not usually proven in geometry class.
What makes the problem difficult is that circles are
round. But earlier in the course, we learned that we can
pretend the curved shapes are made up of lots of little straight
pieces. That’s not really true, but it works … as long as you take
it to the limit and imagine infinitely many pieces, each
infinitesimally small. Following this idea, can you develop a
strategy to establish the area formula of a circle?