First problems about circle

# First problems about circle
## Analytic Geometry
### Arturo Sánchez González
### <a href="mailto:arturo.sanchez@upaep.mx" class="email">arturo.sanchez@upaep.mx</a>
### August 2021

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# Quick review

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# How do we define a circle?

A **CIRCLE** is

_**the set of all points in the plane** that are a fixed distance (the radius) from a fixed point (the center)_
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<img src="circle.png" width="110%" style="display: block; margin: auto;" />
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# Problem 1

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A particular cell phone tower is designed to service a `\(12\)`-mile radius. The tower is located at `\((-3,5)\)` on a coordinate plane whose units represent miles. Draw the area of service. Is a cell phone user at `\((8,0)\)` within the service range?

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class: inverse, center, middle

# Problem 2
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Suppose an earthquake can be felt up to `\(80\)` miles from its epicenter. You are located at a point `\(60\)` miles west and `\(45\)` miles south of the epicenter. Do you feel the earthquake?

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class: inverse, center, middle

# Problem 3
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A pizza delivery area can be represented by a circle, and extend to the points `\((0,18)\)` and `\((-6,8)\)` (these points are on the **diameter** of this circle). At which point is located the pizzeria?

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# Homework

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A radio tower services a `\(10\)`-mile radius. You stop your car `\(4\)` miles east and `\(9\)` miles north of the tower. Will you be able to receive radio waves from the tower?