Area of regular polygon, Mathematics

Assignment Help:

Suppose a regular polygon, which is an N-sided with equal side lengths S and similar angles at each corner. There is an inscribed circle to the polygon that has center C and barely touches the midpoint of every part. A line from C to the midpoint of a side is known as the apothem, and consider this apothem has length R.

If you cut the polygon along staright lines from each corner of the polygon to the center C, you can get a bunch of triangles, each with area (1/2)*(base)*(height). Note that every (base) has length S and the (height) is the length R of the apothem, and there are N such triangles. Therefore the total area of the polygon is N*(1/2)*S*R, which to say it another way is:

(1/2) (Circumference of the Polygon) * R


Related Discussions:- Area of regular polygon

Example of circle graphs, Q. Example of circle graphs? Ans. The Un...

Q. Example of circle graphs? Ans. The United States Government pays obligations annually, called "outlays". Medicare contributes to the health and well being of aged an

Mensuration, a hollow cone is cut by a plane parallel to the base and the u...

a hollow cone is cut by a plane parallel to the base and the upper portion is removed. if the volume of the frustum obtained is 26/27 of volume of the cone. find at what height abo

Determine the probability of given question, Q. Assume a birthday is equall...

Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day? Solution:

Economics, A mortgage lender seeks to maximize the expected value of its po...

A mortgage lender seeks to maximize the expected value of its portfolio. The portfolio, of course, is the sum of all of the mortgages in it, so no generality is lost by examining t

LPP, howto know whether a region is bounded or not

howto know whether a region is bounded or not

Shares and dividends, A man invests rs.10400 in 6%shares at rs.104 and rs.1...

A man invests rs.10400 in 6%shares at rs.104 and rs.11440 in 10.4% shares at rs.143.How much income would he get in all?

Probablity, probability as that of flipping a coin eight times and getting ...

probability as that of flipping a coin eight times and getting all the times the same side of the coin.)

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd