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  • In Figure-8, find the area of the shaded region where a circular arc of radius 7 cm has been drawn with vertex O of an equilateral triangle OAB of side 14 cm as centre. <img alt="\left ( Use \pi = \frac{22}{7}, and \sqrt{3}=1.73\right )" src=

In Figure-8, find the area of the shaded region where a circular arc of radius 7 cm has been drawn with vertex O of an equilateral triangle OAB of side 14 cm as centre.

\left ( Use \pi = \frac{22}{7}, and \sqrt{3}=1.73\right )

 

 

 
 
 
 
 

Answers (1)

\\\text { Area of shaded ragion = Area of the traingle + Area of the circular arc} \\=\frac{\theta}{360^{\circ}} \times \pi \mathrm{r}^{2} +\frac{\sqrt{3}}{4} \mathrm{a}^{2} \\ =\frac{ 300^{\circ}}{360^{\circ}} \times \pi \times 7^{2} +\frac{\sqrt{3}}{4} \times 14^{2} \\\\ =128.28+84.87 \\\\ =213.15 \ \mathrm{cm}^{2}

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