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Standard Equation of a Circle - Hyperdoc

Wonder

We have already determined that a circle is the set of all points that are equally distant from a given center, but how can we graph such a construction?

Explore

What happens to the equation when you change the radius of the circle?

What happens to the equation when you change the center of the circle?

READ: Circles in the Coordinate Plane.

APPLY: Circles Equation Activity

Please open the following PDF file of hurricanes Katia, Irma, and Jose as they approached Florida in 2017. Use what you have learned to determine the equations of the circles surrounding each of these hurricanes.

ASSESS: Answer both parts!

A. List the equation that you determined for each of the hurricanes. B. Why could it be useful to be able to determine the equation of this type of phenomenon?