Answer each question please! Brainliest! 1.) Express answer in exact form. Show all work for full credit.

A segment of a circle has a 120 arc and a chord of 8in. Find the area of the segment.

2.) Find the area of the shaded portion in the equilateral triangle with sides 6. Show all work for full credit.

(Hint: Assume that the central point of each arc is its corresponding vertex.)

Number three is the screenshot

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

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Step-by-step explanation:

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