Begin with a circle of radius r. Inside that circle, inscribe a regular n-sided polygon inside of that circle. Divide the polygon into n congruent triangles with central angle 27 / n. An = -nr sin a) Show that the area of the n-sided polygon is n sin 0 lim An lim ...? b) Find n-too . (Hint: it may be useful to recall that 0 +0 0 Example picture for n = 5: 275 / 5Use a combination of complete sentences and mathematical symbols: The math symbols you use show computations, and the sentences explain the important ideas behind the computations. This may involve using more english words on a math assignment than you're used to. It may help to try to read your ideas out loud as if explaining them to someone else. Then include your explanation in your write-up. Use clear language: Use clear language about what you are doing. Avoid using ambiguous words like "plug this into that." Instead, be specific, e.g. "plug this x value into that linear equation." Announce your methods: Proclaim to your audience what you are about to do. For example, "Computing the slope of the line, we get..." or "Integrating the function f(x) by parts, we get..." Define your Variables: Whenever you introduce a new variable, include a statement that defines that variable. For example, "Let t represent the number of years..." or "Let (a, b) be a point on the curve..." Use clear symbology: If you are simplifying the expression 1/5 + 2/3, you'd like to get a common denominator then add the fractions. Each step produces an expression that is equal to the previous expression, so use an equals sign to show this sentence "1/5 + 2/3 = 3/15 + 10/15 = 13/15". A common miscommunication is to use an arrow to stand for "turns into." The arrow has a different mathematical meaning, so the sentence "1/5 + 2/3 -> 3/15 + 10/15 -> 13/15" is not grammatically correct. Organize Your Computations: Often, doing calculations is necessary for explaining your solution. These should be organized and easy to follow. Help your reader understand what you are doing by giving comments off to the side. Summarize your findings: After you finish solving a problem, reiterate what you've found, and make sure it makes sense. For example, "the slope of the line is 5/2 people per year," or "the graphs of y=f(x) and y=g(x) intersect at the point (1,3)," or "Since the p-value of our test statistic is smaller than the level of significance, we reject the null hypothesis."