To calculate: The equation of a circle whose radius is
Answer to Problem 100E
The equation of the circle is
Explanation of Solution
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
Chapter 1 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning