x^2+y^2=16, (x-y)^2+y^2=16 find the com...

`x^2+y^2=16, (x-y)^2+y^2=16` find the common area of circle.

Verified by Experts

Shaded region=`2[pi16/3-1/22*2*rsin60rcos60]`
`=2[16/3pi-16/2sin120]`
`=2[pi16/3-4]`.

Similar Questions

Explore conceptually related problems

Sketch the region common to the circle x^2 +y^2=16 and the parabola x^2=6y Also find the area of the region using intergration

Sketch the region common to the circle x^2+y^2=16 and the parabols x^2=6ydot Also find the area of the region using integration.

If y = 2sqrt2x+c is a tangent to the circle x^(2) +y^(2) = 16 , find the value of c.

If the common chord of the circles x^(2) + ( y -lambda)^(2) =16 and x^(2) +y^(2) =16 subtend a right angle at the origin then ' lambda' is equal to :

For the two circles x^(2) + y^(2) =16 and x^(2) + y^(2) -2y =0 there is/are

If the common chord of the circles x^(2)+(y-2)^(2)=16 and x^(2)+y^(2)=16 subtend a angle at the origin then lambda is equal to