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Question
The area enclosed by the circle x2 + y2 = 2 is equal to ______.
Options
4π sq.units
`2sqrt(2)pi` sq.units
4π2 sq.units
2π sq.units
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Solution
The area enclosed by the circle x2 + y2 = 2 is equal to 2π sq units.
Explanation:
Since Area = `4int_0^sqrt(2) sqrt(2 - x^2)`
= `4(x/2 sqrt(2 - x^2) + sin^-1 x/sqrt(2))_0^sqrt(2)`
= 2π sq.units
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