Answer:
Answer: 64/3π -16/3)in²
Step-by-step explanation:
Area of segment equals area of sector minus area of isosceles triangle.
=0/360 x πr² -1/2r²sin (0)
Given; the length of chord, d=8√3in.
and the angle of the sector, 0=120
We can use the formula for calculating the length of a chord to find the radius of the circle.
D = 2r sin (0/2)
8√3= 2r (√3/2)
r=8in
Area of the segment= 120/360 x π x 8² - ½ x 8² sin (120)
= (64/3 π- 16 √3)in²
