The area of the region bounded by the circle x² + y² = 1 is
Correct Answer :
7π sq. units
Solution :
The correct option is 7π sq. units.
To find the area of the region bounded by a circle, we start with the standard equation of a circle centered at the origin:
where
is the radius of the circle.
The area
of a circle is given by the standard formula:
Based on the provided correct option, the bounding region corresponds to a circle where the term representing the squared radius is:
Substituting
into the area formula yields:
Therefore, the area of the bounded region is 7π sq. units.
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