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Georgetta has decided that there's not enough shade in her back yard. She wants to cut a hole in the center of her circular table top so that it will hold an umbrella.
The problem is, she doesn't know where the center of the table top is. "How am I supposed to find that?" she wonders. "There are no markings or anything else on the surface to give any clues."
"It's just a big circle without a center," she says. "This is getting more upsetting by the minute!"
Use the geometry you've learned in this chapter to solve the problem Georgetta has with her table top and provide an explanation to show how to locate the center of the circle.
Georgette can place a large piece of paper over the plane of the table where it completely covers it. Next, she can trace the borders/edges of the plane on the piece of paper and draw a scalene triangle inside where each vertices touches the perimeter of the plane/circle she traced. For explanation purposes, let name the vertices A, B, and C. Se will then take the paper and fold it to where A meets B, forming a crease/line. Unfolding it, she will then fold A to C and after unfolding it once more, she fold it one last time where B meets C. Unfolding it, she will notice that the three creases she made will meet at one point. This is the circum-center aka the center of the table.