Express answer in exact form. show all work for full credit. a segment of a circle has a 120 degree arc and a chord of 8 sqrt 3 in. find the area of the segment.

( approx )

Step-by-step explanation:

Let r be the radius ( in inches ) of the circle,

Given,

The length of the chord is 8√3 inches,

By making the diagram,

We found there is a triangle having sides r, r and 8√3,

Also, having angle 120° opposite to sides measuring 8√3 inches,

By the law of cosine,

Now, area of a segment by an degree arc is,

Where, x is the radius of the circle.

Hence, the area of the segment having 120 degree arc on a circle with radius 8 inches,

7! = 7×6×5×4×3×2

3! = 3× 2

as 7! is multiple of 3! because 7! contains 3! that is 3× 2 as factor

so 7! /(3! ) = 7× 6× 5× 4

= 42 × 20

= 840

its b) 840✌✌✌

dhruv⭐

1/800 is the right answer