University:
East Georgia State College
Course:
MATH 1001 | Quantitative Skills & Reasoning
Academic year:

2021
Views:

291

Pages:

2
Author:

Clint W.

Area of Regular Polygons Worksheet Key In #1-4, use the diagram below to answer the questions. Identify the center of the regular polygon ABCDE. F Identify a central angle of the polygon. ∠AFE or ∠EFA What is the radius of the polygon? 6.8 AF or FE What is the apothem? 5.5 FG In #5-8, find the given angle measure for the regular octagon shown. m∠GJH 360°/8 = 45° m∠GJK 1/2(45°) = 22.5° m∠GJF 45° m∠EJH 3(45°) = 135° In #9-10, find the perimeter AND area of the regular polygon. SHOW WORK! n = 5 s = 17.6 a ≈ 12.15 r = 15 P = n * s = 5 * 17.6 = 88 cm A = (a * P) / 2 = (12.15 * 88) / 2 ≈ 534.6 cm² n = 3 s = 20.78 a = 6 P = n * s = 3 * 20.78 = 62.34 A = (a * P) / 2 = (6 * 62.34) / 2 ≈ 187.02 In #11-12, find the perimeter AND area of the regular polygon. SHOW WORK! 11. n = 7 a = 2.5 x² + 2.5² = 2.77² x² = 1.4229 x = 1.19 s = 1.19 * 2 = 2.38 r = 2.77 P = n * s P = 7 * 2.38 P = 16.66 A = (a * P) / 2 A = (2.5 * 16.66) / 2 A ≈ 20.83 12. n = 9 a = 9.46 10² + 3.42² = x² x² = 89.5 x = 9.46 s = 6.84 r = 10 P = n * s P = 9 * 6.84 P = 61.56 A = (a * P) / 2 A = (9.46 * 61.56) / 2 A ≈ 291.18