Allah's Messenger (ﷺ) performed Tawaf of the Ka`ba and the Sa`i of Safa and Marwa so as to show his strength to the pagans.
Sahih al-Bukhari Book 25, Hadith 130
← Previous Hadith I asked Anas bin Malik: "Did you use to dislike to perform Tawaf between Safa and Marwa?" He said, "Yes, as it was of the ceremonies of the days of the Pre-Islamic period of ignorance, till Allah revealed: 'Verily! (The two mountains) As-Safa and Al-Marwa are among the symbols of Allah. It is therefore no sin for him who performs the pilgrimage to the Ka`ba, or performs `Umra, to perform Tawaf between them.' " (2.158)

Sahih al-Bukhari Book 25, Hadith 129 Next Hadith → I was menstruating when I reached Mecca. So, I neither performed Tawaf of the Ka`ba, nor the Tawaf between Safa and Marwa. Then I informed Allah's Messenger (ﷺ) about it. He replied, "Perform all the ceremonies of Hajj like the other pilgrims, but do not perform Tawaf of the Ka`ba till you get clean (from your menses)."

Sahih al-Bukhari Book 25, Hadith 131