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

Answer 1

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