Disney is planning on building a new concert stage in Epcot. You are competing with other companies for the opportunity to build the stage. Before they decide on the company to hire, the Disney executives need a detailed plan of your ideas for the build. Please make sure to answer all questions and give detailed explanations in order to win the job.

1. ) A power cord needs to run from the main power connection, tangent to the circular stage. On a coordinate plane, construct the circular stage at a given location. (10pts)

Part 1: The center is (0,0). Specify an original radius that must be less than 10 feet.

Part 2: Write your circular stage equation.

Part 3: On your coordinate plane, identify the point to represent the location of the main power connection.

Part 4: Construct the power cord so that it is tangent to the stage from the main power connection. You may do this by hand, or an online compass