The area of the shaded region of the circle is 10.972 square inches.
The formula for area of a circle sector is;
A = (θ/360) * πr²
We are given;
Radius of circle = 92 inches
Central angle = 7π/15
Thus;
Area of given sector = (7π/15)/360 * π * 92²
Area of given sector = 7π/15 * 1/360 * π * 92²
Area of given sector = 10.972 square inches
Thus, we can conclude that the area of the shaded region of the circle is 10.972 square inches.
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