the area of the biggest possible Circle to be cut out from a square sheet of side 14 cm
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Answer:
49π
Step-by-step explanation:
area of the circle with diameter as 14cm
for proof that it is the biggest circle
you have to use differentiation
let the diameter of the circle be 14-x
x will be remaining length of the paper after the circle is cut
area= π((14-x)^2)/4 -----(1)
differentiate eq (1) w.r.t x --------(2)
now
equate eq(2) to 0 and find the x value
differentiate eq(2) w.r.t x and substitute the x value
if value less than 0 then the area will be max
if value more than 0 the area will be min
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You should do it by yourself don't search for the answer
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