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Please keep in mind, as the lens size (diameter) of the magnifier lens increases, the magnification power of the magnifier decreases.
As the lens size of the magnifier lens decreases, the magnification power of the magnifier increases. This is a result of the amount of curvature in the magnifier (lens). Magnification power is a result of the amount of curvature in the magnifier lens. As the lens size increases, the amount of curvature in the lens decreases, resulting in lower magnification power of the lens. As the lens size decreases, the amount of curvature in the lens increases, resulting in higher magnification power of the lens.  This is why higher magnification lenses are generally smaller in size than lower magnification lenses.