Irvin cut a 47 in. wire into two pieces. the longer piece is 13 in. longer than the shorter piece. what is the length of the longer piece?

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?