What is the resistance of a 1200 W electric frying pan that draws a current of 11a?

One of the handy formulas for the power dissipated by

a circuit element is

Power = (current) ² x (resistance).

That certainly seems to be the one to use for this problem,

since we're given the power and the current, and we're asked

to find the resistance.

Power = (current) ² x (resistance).

Divide each side by (current) ²:

Resistance = (power) / (current) ²

Resistance = (1200W) / (11 A) ²

Resistance = 1200 / 121 = 9.917 ... ohms (rounded)