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)