Question

The rate of convergence to the area of a semicircle is proportional to the number of sides of the polygon inscribed in it.

• A. directly
• B. indirectly
• C. not

Answer 1

The correct option is A directly

The difference in area between the n-th polygon and the semicircle will become arbitrarily small as n becomes large.
Thus by increasing the number of sides of the inscribed polygon, we are approaching the area of the semicircle.
Hence, they are directly proportional.