Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Application of Integrals

Question:

The area of the smaller portion enclosed by the circle $x^2+y^2=4 $ and the straight line $x+y = 2 $ is :

Options:

$\pi + 2 $

$\pi - 2 $

$2- \pi $

$-\pi + 2 $

Correct Answer:

$\pi - 2 $

Explanation:

The correct answer is Option (2) → $\pi - 2 $

So area required = area of quarter circle - area of triangle

$=\frac{4\pi}{4}-\frac{1}{2}×2×2$

$=\pi-2$