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What is meant by an equation of a circle. What does actually an equation of a circle means as d of a circle means its diametre
Questioner: Kiriti
Category: Advanced Math
Subject: THE EQUATION OF A CIRCLE.
Question: What is meant by an equation of a circle. What does actually an equation of a circle means as d of a circle means its diametre
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Hi, Kiriti,
The term usually refers to the "equation whose graph is a circle". In general, people (including textbook writers) get lazy with the term. "Equation of a <thing>" usually means "Equation satisfied by all points on the <thing>."
In the case of a circle, the standard form is:
(x - a)^2 + (y - b)^2 = r^2, where
The center is at the point (a,b), and the radius is 'r'.
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Paul Klarreich
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I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.
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I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.
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