EQUAÇÃO DA CIRCUNFERÊNCIA GERAL E REDUZIDA🔵 INTRODUÇÃO

REDUCED AND GENERAL EQUATION OF THE CIRCUMFERENCE. Analytic Geometry - Reduced Equation of the Circumference The reduced equation of the circumference is given by the expression (x – a)² + (y – b)² = R². The circumference has center C with coordinates (a, b). At the end of the lesson, solve the question: Determine the equation of the circumference with center at point C (2, 1) and passing through point A (1, 1). Answer: x² + y² – 4x – 2y + 4 = 0 Reduced equation of the circumference. The circumference is the locus of points in a plane that are equally distant, that is, by the same measurement – called the radius, from a fixed point called the center. ... (x - xc)² + (y – yc)² = R² → this is called the reduced equation of the circumference. How did you arrive at the formula for the equation of the circumference? So: Therefore, (x - a)2 + (y - b)2 = r2 is the reduced equation of the circumference and allows you to determine the essential elements for constructing the circumference: the coordinates of the center and the radius. Note: When the center of the circle is at the origin (C(0,0)), the equation of the circle will be x2 + y2 = r2. How to calculate the radius of the circle? By dividing the diameter in half, we obtain the radius of the circle. In other words, the radius (r) of a circle is the segment connecting the center and the extremity. In this case, the radius is the segment CB. We can establish a mathematical relationship between these two elements, since the diameter is twice the radius. General equation of a straight line Reduced equation of a circle exercises General equation of a circle exercises Reduced equation of a straight line General equation for reduced equation Normal equation of a circle Reduced equation of a circle solved exercises doc Given the equation of a circle Analytic geometry, GENERAL EQUATION OF THE CIRCUMFERENCE, DEVELOPED EQUATION OF THE CIRCUMFERENCE, reduced equation of a circle, Determine the equation of a circle with center at the point, REDUCED EQUATION OF THE CIRCUMFERENCE, General equation of a circle, circumference analytic geometry, reduced equation of a circle, Determine the reduced equation of a circle with center c, general equation of a circle, General and reduced equation of a circle: