I wrote in my assignment that mild steel has a high carbon content (4%).This is why it has its strong and rigid properties.. is this correct?
Steel is defined as an alloy of iron and carbon (often supplemented by further materials) with a carbon content between 0.01 % and 2.06 %. 4% is in the realm of cast iron, which isn't quite as rigid as steel. Mild steel contains 0.16 - 0.29% carbon. You're off by more then a decimal.
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High carbon steel is much harder than iron. In fact, steel -is- iron with carbon in it. Mild steel has a very low carbon content and is much softer. High carbon steel is much stronger after heat treatment. However, about 2% carbon, it is considered cast iron. Mild steel contains about 0.16% to 0.29% carbon content. It has a relatively low strength but is highly malleable.