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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

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  Area that the rectangle A = lw  To attain the the biggest rectangle the fits within a circle,apply derivative both sides v respect come l.   Area is always constant.So Derivative of area is amounts to to zero.

See more: Lyrics: Beauty And The Beat Lyrics Todrick Hall, Beauty And The Beat Lyrics     Substitute worth of l in w formula The largest rectangle area that fits inside a circle is Solution : The largest rectangle area that fits within a circle with radius 4 is 8 square units.