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Vertex distance calculator

Find the power to order when a lens moves closer to or farther from the eye, such as from a phoropter to glasses or glasses to contact lenses.

Prescription and distances

Refracted Rx

Use 0 mm for a contact lens. A smaller “worn at” distance means the lens moves in, toward the eye.

Compensated Rx

The lens moves 12 mm in, toward the eye.

Exam method−7.25 −1.50 × 180
Exact optics−7.25 −1.75 × 180

The two methods round to different powers. Exam answers follow the workbook method.

Each principal meridian
MeridianDCEffective (exam / exact)Compensated (exam / exact)
−8.00 @1800.77−8.77 / −8.85−7.23 / −7.30
−10.00 @901.20−11.20 / −11.36−8.80 / −8.93

Exam: DC = mm × F² ÷ 1000; moving in, CP = F + DC. Exact: F ÷ (1 − d × F). Each meridian is rounded to 0.25 D and the Rx rebuilt in minus cylinder.