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 $O A B$ of side 14 cm as centre. (Use $π = \frac{22}{7}$ and $3 = 1.73$ )

$Equilateral triangle OAB with circular arc, shaded region$

Question

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

O A B

of side 14 cm as centre. (Use

π = \frac{22}{7}

and

3 = 1.73

)

$Equilateral triangle OAB with circular arc, shaded region$

[IMAGE_1]

Accepted Answer

Step 1: Area of shaded region $= \frac{\pi r^2 	heta}{360°} + \frac{\sqrt{3}}{4} a^2$
Step 2: $= \frac{\pi 	imes 7^2 	imes 300°}{360°} + \frac{\sqrt{3}}{4} 	imes 14^2$
Step 3: $= 213.1$ cm$^2$

Question

Solution