Answer:1.1 ft^2
Step-by-step explanation:
Φ=55°
Radius=r=4
π=3.14
Area of segment=area of sector - area of triangle
Area of sector=Φ/360 x π x r x r
area of sector=55/360 x 3.14 x 4 x 4
Area of sector=(55x3.14x4x4) ➗ 360
Area of sector=2763.2 ➗ 360
Area of sector=7.7 ft^2
Area of triangle=0.5 x r x r x sinΦ
Area of triangle=0.5 x 4 x 4 x sin55
Area of triangle=0.5 x 4 x 4 x 0.8192
Area of triangle=6.6 ft^2
Area of segment=area of sector - area of triangle
Area of segment=7.7-6.6
Area of segment=1.1 ft^2
