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About Scott A Wilson
Expertise
I can answer any question in algebra, pre-calculus, probability, trigonometry, or statistics.
Experience
Experience in the area; I have tutored people over the years in algebra, basic math, and statistics.
I worked at The Boeing Company for over 5 years.
Education/Credentials: MS degreee in Mathematics from Oregon State Univeristy; taken well over 100 hours of upper division credits in mathematical courses such as calculus, statistics, probabilty, linear algrebra, powers, linear regression, matrices, and more.
I graduated with honors.
Past/Present Clients: College Students at OSU, various math people since college, over 700 people in math and calculus.
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You are here: Experts > Science > Mathematics > Advanced Math > Trigonometry
Expert: Scott A Wilson
Date: 5/10/2008
Subject: Trigonometry
Question
A regular polygon of n sides is inscribed in a circle of radius r. If the area of the polygon is 2r^2sqrt2, how many sides does it have.
Answer
The length of the outer side of a triangle inscribed in a circle is
a) r^2(1-cos(t)), where t is the inner angle.
The formula for t if n is the number of sides would be b) 2pi/n.
To get the formula for the regular polygon with n sides you would take n (the number of sides) times the area of each triangle.
Find this quantity and set it equal to 2r^2*root(2).
Try it with progressively bigger values of n starting at n=3. Note that the r^2 terms can be cancelled on either side at first.
Thanks for allowing me to help you. Feel free to ask more questions of me as the need arises.
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