If the area bounded by y + x - π ≤ π and y ≥ π 2 is K π 2 sq. units, then the value of 8 K is equal to

Step-by-step solution

Given curve is y = π - x - π Solving with y = π 2 , we get, A as π 2 , π 2 and B as 3 π 2 , π 2 Thus, the required area is = 1 2 ⋅ 3 π 2 - π 2 ⋅ π 2 = 1 2 ⋅ π ⋅ π 2 = π 2 4 sq. units