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 .

  • 4
What are you looking for?