The area of the circle is A=9π The given equations are, x+2y−5=0 2x−3y+4=0 From above equations, the value of x and y are 1 and 2 respectively. The point of intersection is (x,y)=(1,2) The area is, πr2=9π r2=9 The equation of the circle is, (x−1)2+(y−2)2=9 x2+y2−2x−4y−4=0