The width of a rectangle is the length minus 3 units. The area of the rectangle is 40 units. What is the width, in unit, of the
1 answer:
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By Green's theorem, the integral of along
is
which is 6 times the area of , the region with
as its boundary.
We can compute the integral by converting to polar coordinates, or simply recalling the formula for a circular sector from geometry: Given a sector with central angle and radius
, the area
of the sector is proportional to the circle's overall area according to
so that the value of the integral is