Cryptarithm - Futility Closet

Cryptarithm

A pleasing puzzle by Eric LeVasseur:

PI × R² = AREA

If each letter in this expression (but not the exponent 2) is replaced with a corresponding digit, the resulting equation will be valid. What are the digits?

	Select Click for Answer
96 × 7² = 4704 (Leonard J. Gordon, “Literary Cryptarithmetic by Computer,” Word Ways 23:2 [May 1990], 67-70.) 07/17/2024 UPDATE: Reader Dave Lawrence points out that other solutions are possible: 76 × 8² = 4864 77 × 7² = 3773 86 × 9² = 6966 (Thanks, Dave.) 07/18/2024 Wait, I jumped the gun — these alternatives lack the required one-to-one correspondence between letters and numbers. So I believe LeVasseur’s solution is unique. Thanks to everyone who pointed this out.

Click for Answer

July 17, 2024July 18, 2024 | Puzzles