Erythrocytes have a discoid shape, which is beneficial because it allows:

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Erythrocytes have the important job of binding and carrying oxygen throughout the body. Because our body's tissues are so reliant on oxygen, we must make sure we have adequate oxygen available. Having a discoid shape cell, round with a sunken middle increases the surface area so that more oxygen can bind to the red blood cell. In fact, this is a common concept in anatomy and physiology, where things like curves, grooves, and extensions, are often features that increase the surface area of various anatomical components.
Red blood cells must sometimes squeeze through tight spaces to get to their destination, therefore the ability to deform and change shape is an advantage of the discoid shape. Resistance to deformation would lead to less efficient oxygen delivery. Red blood cells actually lack a nucleus, thus they have no need to accommodate a large nucleus. Since red blood cells lack a nucleus, their life span is short-lived, usually 6-8 weeks.
You may use the diagram below as a visual reference for the shape of erythrocytes.
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Erythrocytes Have a Discoid Shape, Which Is Beneficial Because It