Que to
In the figure, calculate
(a) the area of the whole figure .
(b) the total length of the boundary of the field
length of the boundary of the field
80 cm
42cm
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3
Answer:
292 cm
Step-by-step explanation:
Area of the rectangular portions = l × b = 80 cm × 42 cm = 3360 cm2
Area of two semicircles = 2 × 12 πr2 = πr2
= 227 × 21 × 21
= 22 × 3 × 21
= 1386 cm2
Total area = 3360 cm2 + 1386 cm2 = 4746 cm2
Total length of the boundary of field = (2 × 80 + πr + πr) cm
= (160 + 227 × 21 + 227 × 21)
= (160 + 132) cm
= 292 cm
Hence, the required (i) area = 4746 cm2 and (ii) length of boundary = 292 cm.
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