20 radian 86. θ = = = = = 120º 2π radians 40 r = 3 r θ 120 ⋅ π inches; = π ; 92. 180 3 (3)2 9 = 1 = 1 ⎛ 2π ⎞ =3π ≈ 9.425 A r 2θ = = 40 ⋅ π = 40π ≈ 13.96 inches s rθ m2 2 2 ⎜ 3 ⎟ 9 9 θ = 45º = 45 ⋅ = π radian radians θ π = 2 feet; = r π 87. = r ⎝ ⎠ 4 93. m; 4 3 (4)2 = = ⋅ π = ≈ π 2 2π 2.094 = 1 = 1 ⎛ ⎞ = 2π ≈ 6.28 m2 s rθ A r 2θ feet 3 3 ⎜ ⎟ 2 2 ⎝ ⎠ (2)2 π = 1 = 1 ⎛ ⎞ = = 2π ≈ A r 2θ 2.094 ft 2 ⎜ ⎟ θ = = ⋅ π 3 cm; 60º 60 ⎝ ⎠ 2 2 3 = = π radians r 94. 180 3 88. (3)2 = π 4 meters; θ π radian = 1 = 1 ⎛ ⎞ = 3π ≈ 4.71 cm2 r = A r 2θ 6 ⎜ ⎟ ⎝ ⎠ 2 2 2 = = 4 ⋅ π = 2π ≈ 2.094 s rθ meters 6 3 95. = 3π radians θ = 30 feet; = 135º = 135 ⋅ π r (4)2 π = 1 = 1 ⎛ ⎞ = 4π ≈ 4.189 A r 2θ 180 4 m2 2 2 ⎜ 6 ⎟ 3 ⎛ 3π ⎞ 675π 2 1 1 2 2 ⎝ ⎠ = = ft A (30) ≈ θ = r ⎜ ⎟ θ = 12 yards; = 70º = 70 ⋅ = 7π radians r π 89. 2 2 ⎝ 4 ⎠ 2 2 50 yards; 180 18 96. = 1 = 100 yd2 A r A = = 12 ⋅ 7π ≈ 14.661 yards s rθ 18 = r 2θ (12)2 = 1 = 1 ⎛ 7π ⎞ = 28π ≈ 87.965 A r 2θ (50)2 θ = yd2 100 1
86. r = 3 θ = 120º = 120 ⋅ π = 2π radians 92. r = 40 inches; θ = = π radian 180 3 A = 1 r 2θ = 1 (3)2 ⎛ 2π ⎞ =3π ≈ 9.425 m2 9 s = rθ = 40 ⋅ π = 40π ≈ 13.96 inches 2 2 ⎜ 3 ⎟ 9 9 87. r = 2 feet; θ = π ⎝ ⎠ radians 93. r = 4 m; θ = 45º = 45 ⋅ π = π radian 3 s = rθ = 2 ⋅ π = 2π ≈ 2.094 feet 4 A = 1 r 2θ = 1 (4)2 ⎛ π ⎞ = 2π ≈ 6.28 m2 3 3 A = 1 r 2θ = 1 (2)2 ⎛ π ⎞ = = 2π ≈ 2.094 ft 2 ⎜ ⎟ 2 2 ⎝ ⎠ ⎜ ⎟ 2 2 ⎝ ⎠ 3 94. r = 3 cm; θ = 60º = 60 ⋅ π = π radians 88. r = 4 meters; θ = π radian 180 3 A = 1 r 2θ = 1 (3)2 ⎛ π ⎞ = 3π ≈ 4.71 cm2 6 s = rθ = 4 ⋅ π = 2π ≈ 2.094 meters ⎜ ⎟ 2 2 ⎝ ⎠ 2 6 3 95. r = 30 feet; θ = 135º = 135 ⋅ π = 3π radians A = 1 r 2θ = 1 (4)2 ⎛ π ⎞ = 4π ≈ 4.189 m2 180 4 2 2 ⎜ 6 ⎟ 3 1 2 1 2 ⎛ 3π ⎞ 675π 2 ⎝ ⎠ A = r θ = (30) ⎜ ⎟ = ≈ ft 89. r = 12 yards; θ = 70º = 70 ⋅ π = 7π radians 2 2 ⎝ 4 ⎠ 2 180 18 s = rθ = 12 ⋅ 7π ≈ 14.661 yards 18 96. r = 50 yards; A = 1 r 2θ 2 A = 100 yd2 A = 1 r 2θ = 1 (12)2 ⎛ 7π ⎞ = 28π ≈ 87.965 yd2 100 = 1 (50)2 θ 20 ;