Question
Download Solution PDFFind the length of the shape shown in figure. Take (π = 22/7), all dimensions are in mm
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Length of the shape = AB + BC + arc CD
Calculation:
Given:
∵ Cos 60° = \(\frac{20}{BC}\)
⇒ \(\frac{1}{2}\) = \(\frac{20}{BC}\)
⇒ 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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