Find the perimeter of the shape shown in figure. (π = 22/7)

F1 Engineering Mrunal 15.03.2023 D9

Note: All dimensions are in mm.

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ISRO SAC Technician B Fitter 6 Nov 2016 Official Paper
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  1. 170 mm
  2. 100 mm
  3. 390 mm
  4. 280 mm

Answer (Detailed Solution Below)

Option 4 : 280 mm
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Detailed Solution

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Concept:

The perimeter of the shape = Length of the boundary

The perimeter of a semi-circle = \(\frac{\pi~×~D}{2}\)

Calculation:

Given:

D = 70 mm, Length = 70 mm, Breadth = 50 mm

The perimeter of a semi-circle = \(\frac{\pi~×~D}{2}\)

⇒ Perimeter of the semi-circle = \(\frac{\pi~×~70}{2}\) = 110 mm

⇒ Perimeter of the shape = 110 + (70 + 50 + 50) = 280 mm

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