Find the area of the shaded portion.
6
120

A = 36√6 - 12π

Step-by-step explanation:

Make 2 identical 30-60-90 triangles out of the "wedge"

For each 30-60-90 triangle:

Since the short leg is 6 the long leg is 6√3

short leg is the base and long leg is the height

a = (1/2)bh

a = (1/2)(6)(6√3)

a = 3(6√6)

a = 18√6

Since there are 2 triangles

a = 36√6

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Then subtract off the area of the 120º sector

a = (120/360)πr^2

a = (1/3)π(6^2)

a  = (1/3)π(36)

a = 12π

Shaded area

a = 36√6 - 12π

1,589.63 in.^3

step-by-step explanation:

i hope this you : d