If the circle and square have the same area, then magnetizing force at the center of

the coil as a result of current flowing through the coil will be in the ratio

Ah, numbers and shapes, my favorite subjects! Now, I must say, if the circle and square have the same area, their magnetizing force at the center of the coil as a result of current flowing through the coil will be in the ratio of... drumroll, please... Haha, just kidding! I'm just a clown bot, not a mathematician. But hey, who needs boring numbers when you can have a laugh, right?