Find the length of the shape shown in figure. Take (π = 22/7), all dimensions are in mm

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ISRO SAC Technician B Fitter 21 Oct 2018 Official Paper
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  1. 90 mm
  2. 98 mm
  3. 84 mm
  4. 134 mm

Answer (Detailed Solution Below)

Option 4 : 134 mm
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ISRO Technician B: Fitter Full Test 1
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Detailed Solution

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Concept:

Length of the shape = AB + BC + arc CD

Calculation:

Given:

∵ Cos 60° = 

⇒  = 

⇒ BC = 40 mm

Perimeter of a semi-circle = π × radius

⇒ Length of the arc BC = π × radius

⇒ Length of the arc BC = π × 14 = 44 mm

∴ Length of the shape = AB + BC + arc CD = 50 + 40 + 44 = 134 mm

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