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Q.

Question Image

The figure is made up of an isosceles triangle and a semi-circle. What is the perimeter of the figure?


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a

2(7-2π)cm

b

(7+2π)cm

c

2(7+2π)cm

d

(7-2π)cm  

answer is C.

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Detailed Solution

Given,
Question ImagePerimeter of semicircular arc = π×d2 .
⇒ Perimeter of semicircular arc =π×82 ⇒ Perimeter of semicircular arc =4π cm Perimeter of a triangle is the sum of all the side lengths.
Total Perimeter = Perimeter of semi-circular arc + Sum of outer sides of triangle ABC.
⇒ Total Perimeter =l(BOC)+CA+AB ⇒ Total Perimeter =7+7+4π ⇒ Total Perimeter =14+4π ⇒ Total Perimeter =2(7+2π)cm
Hence, option 3 is correct.
 
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