Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is

The area we need is –This area A = area of quadrant OAB – area of triangle OAB= πr2/4 – � x base x height= π x 22/4 – � x 2 x 2= π – 2 (Ans)

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Smaller area enclosed by the circle x² + y² = 4 and the line x + y = 2 is

The area we need is –

This area A = area of quadrant OAB – area of triangle OAB

= πr²/4 – � x base x height

= π x 2²/4 – � x 2 x 2

= π – 2 (Ans)

The area bounded by the y-axis, y = cos x and y = sin x when 0 ≤ x ≤ π/2 is

The area of the circle x² + y² = 16 enterior to the parabola y² = 6x is

Area lying between the curves y² = 4x and y = 2x is

Area lying in first quadrant and bounded by the circle x² + y² = 4 and the lines x = 0 and x = 2, is