University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2020
Views:

323

Pages:

21
Author:

gildnar99xu

Geometry Unit 9: All Lessons Name: Key Date: Period: Unit 9: Packet... Perimeter and Area of Plane Figures Essential Questions: o Why is knowing terminology critical to understanding circle relationships? Goal: I will use vocabulary associated with circles. Formulas: Distance Formula d = sqrt((x_{2} - x_{1}) ^ 2 + (y_{2} - y_{1}) ^ 2) Areas of Polygons Formulas for Circles Square A = S ^ 2 C = 2pi*r Rectangle A = b A = pi * r ^ 2 Parallelogram A =b 1 Length of Arc = 2πτ 360 Triangle A = 1/2 * bh Rhombus A = 1/2 * d_{1}*d_{2} Arca of Sector = n/360 * pi * r ^ x Trapezoid A = 1/2 * h(b_{1} + b_{z}) Regular Polygon A = 1/2 * ap Equilateral Triangle A = 1/4 * sqrt(3) * s ^ 2 Perimeter of Polygons and Irregular Polygons 1) Find the perimeter of the shaded triangle. 17 ^ 2 + 17 ^ 2 = x ^ 2 578x x = 17sqrt(2) 17 2) Find the perimeter triangle. 10 ^ 2 + 12 ^ 2 = c ^ 2 2sqrt(61) = c 12 ^ 2 +28^ prime prime =c^ prime prime 4/5C 12 10mm 13 34 + 17sqrt(2) in3 ove 58 in 3) Find the perimeter. 134 km Cotol mm 4) Find the perimeter of the regular hexagon. 21 23 178 m 48 len 17 23 km 1068m 456 km 134 Octagon Symmetr 178 176 176 5) Find the perimeter. 6) Find the perimeter of the outside track. 6 10 γά 10 Goy 24cm 22cm 200+ 60 yd are 388.44d 7) Find the perimeter. 4 in 4 in. 8) Find the perimeter. 41 in 4 2m. 4 2 in. 9) Find the perimeter. 39.5cm 6.5cm 78 2 2 12 10) Find the perimeter. 1.5 cm 1.5 cm 10 cm 12 cm 3851 22 20 280F+ Lining 201 Garage 20 32 28 C = 60m + 20c C*pi * c ^ d Area of Circles 91) Find the area. 8 in.. p P = pi(r) ^ 2 MG * 4pi * m ^ 2 A= 200.9 * 6 10^ 12 93) Find the diameter. Area of supseteq z = 96c * m ^ 2 Q ts =Wr^ * 36.57r ^ 2 r = 5.53 c = 11.06cm 95) Find the area. r = 10 A = pi * (IC) ^ 2 f_{T} = 150pi * m ^ 2 A = 314 in 20 in. 97) Find the area. A = pi * (0.4) ^ 2 A = 0.56m ^ 2 * 4cmo C 0.4 cm A 99) Find the area of the shaded region. pi * (24) ^ 2 - pi * (6) ^ 2 576pi - 36pi A = 540pi*m G A = 1695.6m ^ 2 20 92) Find the area of a circle with a diameter of 3.14 miles. r = 1.57 A = pi * (1, 57) ^ 2 A = 7, 74m * i ^ 2 94) What is the radius of a circle with area 50 square meters? 56 = n * r ^ 2 15.92 = r ^ 2 r = 3.99m B 96) Find the area. r = 4 A = pi * (4) ^ 2 A 16 A = 50.24 m² C 8 m A 98) Find the area. A = pi * (31) ^ 2 A= 96l*pi*I x^ - A. 3017. 54 FI 31 ft C A 100) The diameter of the pizza is 16 inches. What is the area of one slice? r = 8 A = pi * (8) ^ 2 A = (64pi)/8 * pi A= 8T ln^ 2 25.12i * n ^ 2