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Schaum’s Outline. Each book in this series provides explanations of the various topics in the course and a substantial number of problems for the student to try. Many of the problems are worked out in the book, so the student can see examples of how they should be solved. Schaum’s Outlines are available at Amazon.com, Barnes & Noble and
A formula for the area of a polygon. We can use Green’s Theorem to find a formula for the area of a polygon P in the plane with corners at the points (x , y ), (x , y ), . . . , (x , y ) (reading counterclockwise around P ). ).
12 Μαΐ 2024 · We can derive a formula for the area of a regular polygon by dividing the polygon into equally-sized triangles and combining the areas of those triangles. If the length of each side of is \(s\), each triangle’s area is its base times its height divided by 2, or \(s\cdot{r}\div2\).
This section will focus on how to calculate the Area of a Regular Polygon. We recall that a polygon is regular if all of its sides are congruent and if all of its interior angles are congruent. Remember that congruent means identical.
Finding the Area of a Regular Polygon. Work with a partner. Use dynamic geometry software to construct each regular polygon with side lengths of 4, as shown. Find the apothem and use it to fi nd the area of the polygon. Describe the steps that you used.
Theorem: Area of a Regular Polygon. The area of a regular n-gon with side lengths (s) is half the product of the apothem (a) and the perimeter (P), so. = 1⁄2 aP, or A = 1⁄2 a • ns. The number of congruent triangles formed will be the same as the number of sides of the polygon.
Objectives. 1 To find the area of a regular polygon. Examples. 1 Finding Angle Measures. 2 Finding the Area of a Regular Polygon. 3 Real-World Connection. Math Background. A regular n-gon can be constructed by using n adjacent congruent angles with measure 360. n .
