Given the radius of the circle is \\\\(14\\\\) cm.Then the area of the circle \\\\(=\\pi r^2=\\dfrac{22}{7}\ imes (14)^2=\\dfrac{22}{7}\ imes 4\ imes 7^2=4\ imes 154\\\\) cm\\\\(^2\\\\).Then the area of a quadrant of the circle is \\\\(\\dfrac{4\ imes 154}{4}=154\\\\) cm\\\\(^2\\\\).