How to Calculate the Area of Regular Polygons
Regular Triangle (Equilateral): Area \(A = \frac{\sqrt{3}}{4} \times \text{side}^2\) Regular Quadrilateral (Square): Area \(A = \text{side}^2\) Regular Pentagon: Area \(A = \frac{5}{4} \times \frac{\text{side}^2}{\tan(\frac{180}{5})}\) Regular Hexagon: Area \(A = \frac{3\sqrt{3}}{2} \times \text{side}^2\) Examples Practice Questions: Find the area of an equilateral triangle with a side length of \(9 \text{ cm}\). What is the area of […]
How to Apply Comparison, Ratio, and Root Tests
In the realm of mathematical analysis, understanding the behavior of infinite series is pivotal. The convergence or divergence of a series determines whether the sum approaches a finite value or goes to infinity (or is undefined). With myriad tests at our disposal, we shall focus on the subtle intricacies of three paramount ones: Introduction Comparison […]
