The area around the given curve according to the green theorem is .
According to the statement
we have to find the area enclosed by the simple closed curve that encloses the origin.
So, We know that the
The given equation is
and
If function is in form of,
and C is any positively oriented simple closed curve that encloses the origin.
Then,by use of Green's theorem
Do the partial differentiation of the given function
Then
and
On substitution in Green's theorem,
We get the value
From this it is clear that the area around the given curve is zero.
So, The area around the given curve according to the green theorem is .
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