find the area of the shaded region. please show your work

Answer:
≈184.25
Step-by-step explanation:
1) if r=10 and 'a' is the length of the side of the triangle, then the ratio
a=r√3;
2) the required area can be calculated as
A=πr²-√3/4*a²; ⇔ A=πr²-3√3/4 r²;
3) according to the formula above, the required area:
[tex]A=r^2(\pi -\frac{3\sqrt{3} }{4} ); \ = > \ A=100*(3.1415-\frac{3*1.7321}{4})=184.2462[/tex]