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

Question

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,

MARKS App · Accepted Answer

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

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