IM Geo.4.11 Lesson: Approximating Pi
Calculate the area of the shaded regions.
Calculate the area of the shaded regions.
The applet below shows a regular n-sided polygon inscribed in a circle.
Come up with a general formula for the perimeter of the polygon in terms of . Explain or show your reasoning.
Let's use the expression you came up with to approximate the value of π.
How close is the approximation when ?
How close is the approximation when ?
How close is the approximation when ?
How close is the approximation when ?
What value of approximates the value of to the thousandths place?
Describe how to find the area of a regular -gon with side length . Then write an expression that will give the area.