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: B
Explanation
Area of \(\Delta OXY\) = \(12\frac{1}{4} cm^2\) Area of sector OXY = \(\frac{30}{360} \times \frac{22}{7} \times 7 \times 7\) = \(\frac{77}{6} = 12\frac{5}{6} cm^2\) Area of the shaded portion = \(12\frac{5}{6} - 12\frac{1}{4}\) = \(\frac{7}{12} cm^2\)
