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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 1.8, Problem 100E

To determine

**To calculate: **The equation of a circle whose radius is

Expert Solution

The equation of the circle is

**Given information:**

The radius of the circle is

**Formula used:**

The standard form of the equation of the circle is

Distance

**Calculation:**

Consider the provided conditions that radius of the circle is

Since the circle is tangent to x -axis so it touches the x -axis at a single point and y -coordinate is 0.

As the radius of circle is 5 units so point on x -axis through which the circle passes is

Since the circle is tangent to y -axis so it touches the y -axis at a single point and x -coordinate is 0.

As the radius of circle is 5 units so point on y -axis through which the circle passes is

So, the center of the circle is

Recall that the standard form of the equation of the circle is

Compare,

Here,

Substitute the values in standard equation of circle,

Thus, the equation of circle is