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​

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

  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:

  

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

  Substitute the respective values in the above formula.

  

  

  

  Now substitute π = 3.14

  

  Hence, the area is approximately 1300.8 cm² or