Mathematics

The diagram above shows the shaded segment of a circle of radius 7cm. if the…

The diagram above shows the shaded segment of a circle of radius 7cm. if the area of the triangle OXY is 12(frac{1}{4})cm(^2), calculate the area of the segment
[Take π = 22/7]

  • A.
    5/12cm2
  • B.
    7/12cm2
  • C.
    11/6cm2
  • D.
    2 1/3cm2
  • E.
    6 1/6cm2
Correct Answer: Option B
Explanation

Area of (Delta OXY) = (12frac{1}{4} cm^2)

Area of sector OXY = (frac{30}{360} times frac{22}{7} times 7 times 7)

= (frac{77}{6} = 12frac{5}{6} cm^2)

Area of the shaded portion = (12frac{5}{6} – 12frac{1}{4})

= (frac{7}{12} cm^2)