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Home » Find the radius of a circle if the circumference is equal to the area. - Imagemakers

Find the radius of a circle if the circumference is equal to the area. - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 The least common multiple (LCM) is obtained by taking the highest powers of all primes appearing:

📌 Solution: Let $a = 2025$ and $b = 2020$. We use the identity:

📌 Solution: We compute modulo $1000$. Note that:

📌 Question: What is the base-ten number represented by the base-seven number $53621_7$?

📌 Solution: Expand the base-seven number using powers of 7:

📌 Question: Find the smallest positive integer whose square ends in $001$.

📌 Solution: We seek the smallest $n > 0$ such that:

📌 We now solve the four combinations using the Chinese Remainder Theorem:

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