Assignment:
Define a geometric construction as an object that can be created using only a compass and a straightedge. Mathematicians have shown that it is not possible to:
1. Geometrically construct a square with an area equal to that of a given circle.
2. Use a geometric construction to trisect an arbitrary angle.
The proofs of these two theorems require abstract algebra.
- Describe the mathematics used to solve each of these problems (you do not need to supply proofs).
Provide complete and step by step solution for the question and show calculations and use formulas.