Green area will be;
½(area quarter circle with radius (2+√(2)) unit) - area isosceles right-angled triangle with height and base √(2) unit respectively - area sector with radius √(2) unit and angle 135°
= ½(¼(2+√(2))²π) - (½(√(2))²) - (π(√(2))²x135÷360)
= ¼(3+2√(2))π - 1 - ¾(π)
= ¼(3π+2√(2)π-4-3π)
= ¼(2√(2)π-4)
= ½(√(2)π-2) square unit.
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