Question

Asked Oct 22, 2019

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Step 1

x^{2} + y^{2} ≤ 64 = r^{2}

Hence, r = 8

Under polar coordinates: x = rcosƟ; y = r sinƟ; dA = rdrdƟ

Step 2

The region R is semi circle of radius 8 lying in the first and the second quadrant such that x ≥ 0

Hence limits of integration will be from Ɵ = -π/2 to Ɵ = π/2 and r = 0 to 8

Step 3

If the desired area is A, then pease see the work...

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