Find the area of that part of circle x2 +y2 =16 which is exterior to the parabola y2 =6x
we have to find the area of shaded region.
Equation of circle,
And, equation of parabola,
Substitute value of from equation (2) into equation (1), we get,
putting value of x =2 in equation (2), we get,
Thus, point P and Q are respectively.
Now,
Required area = Area of semicircle RSTOR + 2Area OPR
= Area of semicircle RSTOR + 2(Area OPM + Area MPR)
Hence, area of the shaded region is .