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Please help me answer this, how to find area of the shaded region of a circle.​


Please help me answer this, how to find area of the shaded region of a circle.​

Answers

  • Réponse publiée par: nicole8678

    answer with Step-by-step explanation:

    θ = central angle  in degrees

    r = radius  

    π = pi = 3.14

    4.)

    Area of segment (the shaded area)=(θπ/360- sinθ/2) r²  

    Area of sector = ((100(3.14))/360- sin⁡(100)/2) (5 cm)²

    Area of sector = (0.872- 0.985/2)(25 cm² )

    Area of segment (shaded) =  9.475  cm²

    5.)

    Area of 3 segments (the shaded area)=3[(θπ/360- sinθ/2) r²]

    Where:

    θ = 360/3 = 120°

    Area = 3[((120(3.14))/360- (sin⁡(120))/2)(6 cm² ]

    Area = 3[((376.8))/360- 0.866/2) (36 cm²) ]

    Total area of the segments = 66.312  cm²

    6.)  

    Shaded region=Area of circle-Area of 5 sectors

    Where:

    Central angle θ = 360/5 = 72°

    Shaded region = πr² - 5[(72(3.14)/360- sin⁡(72)/2) (4 cm)²]

    Shaded region = (3.14)(4 cm²) - 5 [(0.628- 0.476)(16 cm²)]

    Shaded region = 50.24 cm² - 5[2.432  cm²]

    Shaded region = 50.24 cm² - 12.16 cm²

    Shaded region (pentagon) = 38.08 cm²

    (Please click the image below to view the my complete solution.)


    Please help me answer this, how to find area of the shaded region of a circle.​
  • Réponse publiée par: elaineeee

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  • Réponse publiée par: Grakname
    Area of pentagon = 5 x Area of a triangle

    In the figure u can create 5 triangles
    Area of triangle is bh/2; b is base and h is the heighr.
    In the figure, base is 2 and height is 2 times square root of 3 or 3.464
    A of triangle = (2)(3.464)/2
    A = 3.464

    Area of pentagon = 5 × Area of triangle
    = 5×3.464
    = 17.32 is my answer.

    note: I am not sure of my answer. Bale hinahati ko lang yung figure sa limang triangle to get the Area of pentagon.
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Please help me answer this, how to find area of the shaded region of a circle.​...