Area of Inscribed Equilateral Triangle of Circle | Can You Solve?

In this video, Brian Mclogan explains how to find the area of an equilateral triangle inscribed within a circle with a given radius. He begins by setting up the problem and encourages viewers to think about what they know. He then discusses the properties of equilateral triangles and special right triangles, specifically the 30-60-90 triangle. Using these properties, he calculates the area of the triangle step-by-step, demonstrating the process and simplifying the calculations. The video concludes with a summary of the solution and an invitation to subscribe for more content.

What is the formula for the area of a triangle?

How do you determine the height of an equilateral triangle inscribed in a circle?

What is the relationship between the sides of a 30-60-90 triangle?

How do you calculate the area of one of the triangles formed by dividing an equilateral triangle?

What is the total area of the six triangles formed within the circle?

Explain how to simplify the multiplication when calculating the area of the triangles.

What is the final area of the equilateral triangle inscribed within a circle with a radius of five?