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Exercises Equations and inequalities

Example 8 from Algebra and Trigonometry, 2.1 The Rectangular Coordinate Systems and Graphs

Finding the Center of a Circle

The diameter of a circle has endpoints $(−1, −4)$ and $(5, −4) .$ Find the center of the circle.

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
The center of a circle is the center, or midpoint, of its diameter. Thus, the midpoint formula will yield the center point.

$\begin{matrix} (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2}) \\ (\frac{- 1 + 5}{2}, \frac{- 4 - 4}{2}) = (\frac{4}{2}, - \frac{8}{2}) = (2, −4) \end{matrix}$

How did it go?

PreviousFinding the Midpoint of the Line Segment Next Solving an Equation in One Variable

From Algebra and Trigonometry (1st edition) by OpenStax (Rice University), section 2.1, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.