Question

For problem 8, find the area of the shaded region. The polygon is a regular polygon. please show work.​

Answer 1

34.7791 [unit²].

Explanation:

1) area of the circle is:

πr²;

2) area of the regular polygon is:

6*r²√3*0.25=1.5√3r²;

3) the required area:

πr²-1.5√3r²=r²(π-1.5*√3)=64*(3.1415-1.5*1.7321)=34.7791