A circular search coil used to calibrate magnetic sensors has 450 turns and a diameter of 3.60 cm.

The coil is positioned in a uniform magnetic field with a flux density of 0.0850 T0.0850\text{ T}0.0850 T. The direction of the magnetic field makes an angle of 42.0∘ 42.0^\circ\,42.0∘ to the normal of the plane of the coil, as shown in the diagram.
Calculate the magnetic flux linkage for this search coil.