I think it is 3 it depends on how much points the questions are worth
Answer:
Hi
Step-by-step explanation:
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Given the figure:
The circle has a radius of 6 units. An included angle of 120 degrees. The shaded portion is outside the circle with sides tangent to the circle.
We can draw two right triangles by drawing a line bisecting the included angle. Then, we use the Pythagorean theorem to solve for the measurement of the two sides.
let x = measure of the side of the shaded portion
tan (60) = opposite / adjacent
tan (60) = x / 6
solve for x, x = 10.39
let s = arc
s = rθ
s = 6 * 120*pi/180
s = 4*pi
then solve for the area of the shaded portion. <span />