The center of a circle is in Quadrant III, the radius is 5, and the circle is tangent to both the x- and y-ax (a) Write an equation of the circle in standard form. (b) Graph the circle. Part 1 of 2 (a) An equation of the circle in standard form is

The center of a circle is in Quadrant III, the radius is 5, and the circle is tangent to both the x- and y-ax (a) Write an equation of the circle in standard form. (b) Graph the circle. Part 1 of 2 (a) An equation of the circle in standard form is

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.CR: Chapter Review

Problem 4CC

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Question

The center of a circle is in Quadrant III, the radius is 5, and the circle is tangent to both the x- and y-axes.
(a) Write an equation of the circle in standard form.
(b) Graph the circle.
Part 1 of 2
(a) An equation of the circle in standard form is
Part 2 of 2
(b) Graph the circle.

Expert Solution

Step 1

Given:

radius = 5.

The center will be in QIII and have a tangent to both the x-axis and y-axis.

So,

we must have the center as (-5, -5).

Hence, the equation of the circle becomes as ${(x + 5)}^{2} + {(y + 5)}^{2} = 25$ .

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