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Question

Pavan has a piece of wire and he wants to make some geometrical figures with it. Which of the following geometrical figures can he make with the minimum length of wire?



A
Fig. i
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B
Fig. ii
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C
Fig.iii
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D
All require the same length of wire
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Solution

The correct option is B Fig. i

Fig. (i)

Perimeter = πr + 2r
 =227×1.4+2.8=7.2cm

Fig. (ii)

Perimeter = Perimeter of square + Perimeter of circle

Perimeter=4×2.8+2×227×1.4=11.2+8.8=20 cm

Fig. (iii)

Perimeter = Perimeter of arc + Perimeter of slant heights

Perimeter=227×1.4+2+2=8.4 cm

Therefore, fig. (i) will require less wire.


Mathematics

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