To write: standard form of equation of circle given below:
Answer to Problem 6CT
Explanation of Solution
Concept Used:
The standard form of equation of circle with
Distance Formula: Distance between the two points
Midpoint Formula: Midpoint of the line segment joining the two points
From the given graph it can be observed that the centre of the circle lies on the mid-point of line joining the points
In the above midpoint formula substitute
The radius of the given circle is the distance between the centre of circle and any one point on its circumference, say
In the above distance formula substitute
Thus, the equation of circle in standard form is written as:
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- 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