Learn to calculate areas of various polygons in this comprehensive mathematics lecture and problem-solving session. Master the technique of dividing rhombuses and kites using diagonals to find their areas by splitting them into congruent triangles. Explore essential concepts like central angles and apothems in regular polygons, and apply the formula Area = 1/2 * apothem * perimeter for area calculations. Work through numerous examples involving pentagons, nonagons, and other polygons while applying trigonometric principles, particularly focusing on 30-60-90 and 45-45-90 special right triangles. Practice with 52 carefully structured problems that build understanding of polygon area calculations, including practical applications like designing octagonal tabletops. Access accompanying textbook materials and follow along with timestamped sections covering each problem set over the course of 2 hours and 24 minutes.
Overview
Syllabus
Introduction
Lecture overview
Problem #1-2
Problem #3-6
Problem #7-10
Problem #11-14
Problem #15-18
Problem #19-24
Problem #25-26
Problem #27-30
Problem #31-32
Problem #33-35
Problem #36
Problem #37
Problem #38
Problem #39-40
Problem #41
Problem #42
Problem #43
Problem #44
Problem #45-46
Problem #47-48
Problem #49
Problem #50
Problem #51
Problem #52
Taught by
Mr. Robinson's Virtual Math Classroom
