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
Answer:
20π
Step-by-step explanation:
Area = πr^2
100π = πr^2
solve for r and r = 10
circumference of a circle is 2πr
therefore 2π×10=20π in
Multiply both sides by the denominator (8)
-x =40
1/3x + 2 = 4/3x - 5
2 + 5 = 4/3x - 1/3x
7 = x
y = 1/3(7) + 2
y = 7/3 + 2
y = 7/3 + 6/3
y = 13/3
solution is : (7,13/3) <=