A circular search coil used in a geophysical survey has 550 turns and a radius of 1.80 cm.

The coil is aligned horizontally in a region of uniform magnetic field with a flux density of 85.0 mT85.0\text{ mT}85.0 mT. The magnetic field lines pass through the coil at an angle of 32.0∘ 32.0^\circ\,32.0∘ to the horizontal plane of the coil.
Determine the magnetic flux linkage for this coil.