There abruptly appears a beautiful woman in beautiful clothes who looks extremely annoyed.
She looks around at her surroundings, and sighs.
She mentally thanks the universe and reports on the planet's volume to her tutor.
"I'm cheating on the pain tolerance. I am not sure how to explain the magical skill."
"I, ah, explained to the world that I could guess how big the planet was based on the gravity and the curvature but that surely it wouldn't mind helping me."
"I can see the ocean through there, which I'm assuming matches the planet's curve unless you are currently having some kind of adverse weather event or bizarre magical happening right there."
"...okay. I must see better than humans. Does magic let you borrow others' senses? That's a common use of osanwë, people will leave their eyes and ears open."
"Oh well. Does this explain why I was able to derive the volume of the planet?"