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

How much interest will she have made after 4 years, Celine deposited $505 i...

Celine deposited $505 into her savings account. If the interest rate of the account is 5% per year, how much interest will she have made after 4 years? Use the formula F = 9/5

Large samples, LARGE SAMPLES These are samples that have a sample size ...

LARGE SAMPLES These are samples that have a sample size greater than 30(that is n>30) (a)   Estimation of population mean Here we suppose that if we take a large sample

12, Ask question #Minimum 100 words accepted linear algebra

Ask question #Minimum 100 words accepted linear algebra

Differential equation (dy/dx) +x^2 = x^2*e^(3y), The general solution of th...

The general solution of the differential equation (dy/dx) +x^2 = x^2*e^(3y). Solution)(dy/dx) +x^2 = x^2*e^(3y) dy/dx=x 2 (e 3y -1) x 2 dx=dy/(e 3y -1) this is an elementar

Properties of triangle, In triangle ABC, cosecA(sinB.sinC+cosB.sinC) is equ...

In triangle ABC, cosecA(sinB.sinC+cosB.sinC) is equal to..?

Number sentences, when i couulate the formula f 64 divided by 65 how do i d...

when i couulate the formula f 64 divided by 65 how do i do this

How many pounds should nicole put in every basket, Nicole is forming 20 gif...

Nicole is forming 20 gift baskets. She has 15 pounds of chocolates to distribute equally between the baskets. If each basket gets the similar amount of chocolates, how many pounds

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