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What is the distance between the points (2 -3) and (-6 4) on the coordinate plane

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Using inductive reasoning, what are the next two number in this set? 2,3/2,4/3,5/4,