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Find the area of the region given by 11≤|z| ≤ 19.

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Find the area of the region given by 11≤|z| ≤ 19.

(a) 120π sq. units

(b) 180π sq. units

(c) 240π sq. units

(d) 320π sq. units

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Question is taken from Regions in the Complex Plane topic in division Complex Numbers of Engineering Mathematics

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Correct answer is (c) 240π sq. units

The explanation is: The region formed is an annulus of inner radius 11 units and outer radius 19 units. Therefore, the required area=π(19^2–11^2)=240π.

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