Question

Find the area of the shaded region. please show your work​

Answer 1

≈184.25

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:

`A=r^2(\pi -(3√(3) )/(4) ); \ = > \ A=100*(3.1415-(3*1.7321)/(4))=184.2462`