Q. For which of the following regions, compactness is minimal?

  • (A) rectangle
  • (B) square
  • (C) irregular
  • (D) disk
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✅ Correct Answer: (D) disk
Explanation: we know that, compactness of a region is defined as (perimeter)2/area. thus, disk shaped region has a minimal value of this ratio and hence the minimal compactness.

Published by Mr. Dubey ⭐ 111.54K Points at 21-Sep-2023 06:51 pm in Metrology and Measurements

Explanation by: Mr. Dubey
we know that, compactness of a region is defined as (perimeter)2/area. thus, disk shaped region has a minimal value of this ratio and hence the minimal compactness.

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