Find the area of the green sector if m∠ a = π 6 and the circle has a radius of 10 inches.

The area of the sector, when the measure of the central angle is in radians, can be solved using this equation:
A = (n/2) r²

From the given values,
A = (π/6/2) (10²)
A = 25π/6 = 26.18 in²

Therefore, the area of the sector with the central angle measuring π/6 with the radius of the circle 10 inches is 26.18 in²