Problem of the Week 12-20-16

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Ben finds derives a formula for the area of a regular n-sided regular polygon in this week's Problem of the Week!

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I remember another formula for the area of a triangle when the sides are known called semiperm.

emilywong
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I think the formula for the area of a n-sided ploygon, using herods formula, is 3/2 (sn). You don't need theta, or r. Why does the blog ask for permission to view?

emilywong
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You could also use the law of cosine and quadratic formula to define r in terms of s and the angle, but it gets messy. I am not getting the same answer yet. I will keep working on it.

emilywong