​ Consider the circle x^2 + y^2 = 16 and the straight line y = √(3)x as shown in the figure ​

Question

Consider the circle x² + y² = 16 and the straight line y= \(\sqrt{3}x\) as shown in the figure

(i) Find the points A and B as shown in the figure.

(ii) Find the area of the shaded region in the figure using definite integral.

Answer 1

(i) The point of intersection of x² + y² = l6 and