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Find the area that the biggest rectangle that fits within a circle of radius 4. 0 votesApplications and derivative questionsapplicationsderivativesareaaskedDec 1, 2014in CALCULUSby anonymous
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Radius that the one r = 4.

You are watching: Determine the area of the largest rectangle that can be inscribed in a circle of radius 4

Length the the rectangle = l

Width the the rectangle = w

From the above figure and using Pythagorean theorem

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Area that the rectangle A = lw

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To attain the the biggest rectangle the fits within a circle,apply derivative both sides v respect come l.

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Area is always constant.So Derivative of area is amounts to to zero.

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Substitute worth of l in w formula

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The largest rectangle area that fits inside a circle is

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Solution : The largest rectangle area that fits within a circle with radius 4 is 8 square units.

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