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

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]

5/12cm²

7/12cm²

11/6cm²

2 1/3cm²

6 1/6cm²

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Correct answer is B

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 = $12\frac{5}{6} - 12\frac{1}{4}$

= $\frac{7}{12} cm^2$

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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]

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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]