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Anwarbibi has spent Rs2664 at the rate of Rs18.50 per meter for fencing of her semicircular land. Let us write by calculating how much cost it will take, if she makes the semicircular land plough at the rate of Rs32 per square meters
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Answer:
₹39424
Step-by-step explanation:
shape : semi circle
fencing along : perimeter
formula : P : πr + 2r = r ( π+2)
fencing rate : ₹18.5/m
spent : ₹2664
now...since...
cost = rate × perimeter
2664 = 18.50 × P
P = 2664 / 18.5
P = 144 m
i,e r ( π+2) = 144
r ( 22/7 + 2 ) = 144
r (36/7) = 144
r = 144 × 7/36
radius : r = 28 m
now....since...
area of semicircular A = πr^2/2
A = 22/7 × 28 × 28 /2
A = 1232 m^2
ploughing rate : ₹32
ploughing cost = rate × Area
= 32 × 1232 = 39424
hence....
ploughing cost = ₹39424
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