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12. the top view of a circular table shown on the
right has a radius of 120 cm. find the area of
the smaller segment of the table (shaded
region) determined by a 60° arc.
a. (24001 - 3600/3) cm?
b. 3600/3 cm
c. 24007 cm?
d. (14 4001 - 3600v3) cm?
/60°
120 cm​


12. the top view of a circular table shown on theright has a radius of 120 cm. find the area o

Answers

  • Réponse publiée par: elaineeee
    Area of segment is 1,300 cm².

    Therefore:

    A. (2,400π - 3,600√3) cm²

    Step-by-step explanation:

    Area of segment (the shaded region) = Area of sector - area of triangle

    Where:

    Area of sector = (θπ/360)r²

    Area of segment = (sinθ/2)r²

    Derive the equation:

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

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

    Given:

    Central angle, θ = 60°

    Radius, r = 120 cm

    pi, π ≈ 3.14

    Solve for the area of segment or shaded region:

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

    Area = (120 cm)² [60×3.14/360 - sin60/2]

    Area = 14,400 cm² [0.523 - 0.866/2]

    Area = 14,400 cm² [0.523 - 0.433]

    Area = 14,400 cm² (0.09)

    Area of segment or shaded region = 1,296 cm² or 1,300 cm²

    ANSWER OPTIONS:

    A. (2,400π - 3,600√3) cm² = 1,300 cm²

    B. 3,600√3 = 6,235 cm²  

    C.  2,400π = 7,536 cm²

    D.  (14,400π - 3,600√3) = 38,980 cm²

    #ANSWERFORTREES

  • Réponse publiée par: sicienth

    15 minutes per second

    Explanation:

    Since s=d/t, we divide 120 m by 8 sec, making the answer 15 m/s

  • Réponse publiée par: Grakname

    answer:

    it's B

    Step-by-step explanation:

    I think my mind just said it's B

  • Réponse publiée par: janalynmae

    The area is approximately 1300.8 cm² or 2400\pi-3600\sqrt{3}

    Step-by-step explanation:

    Consider the provided information.

    We need to find the area of the shaded region.

    The area of the segment is given as:

    r^2(\frac{\theta \times \pi}{360}-\frac{sin\theta}{2})

    It is given that θ = 60°,  r = 120 cm

    Substitute the respective values in the above formula.

    (120)^2(\frac{60 \times \pi}{360}-\frac{sin60}{2})

    14400(\frac{\pi}{6}-\frac{\sqrt{3}}{4})

    2400\pi-3600\sqrt{3}

    Now substitute π = 3.14

    2400\times 3.14-3600\times 1.732=1300.8

    Hence, the area is approximately 1300.8 cm² or 2400\pi-3600\sqrt{3}

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12. the top view of a circular table shown on theright has a radius of 120 cm. find the area ofthe s...