POSIÇÃO RELATIVA ENTRE DUAS CIRCUNFERÊNCIAS #09

RELATIVE POSITION BETWEEN TWO CIRCUMFERENCES #09 REDUCED AND GENERAL EQUATION OF THE CIRCUMFERENCE. Analytical 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 class, solve the question: Determine the equation of the circumference with center at point C (2, 1) and that passes through point A (1, 1). answer: x² + y² – 4x – 2y + 4 = 0 Reduced equation of the circumference. The circumference is the geometric locus of points on a plane that are equally distant, that is, of the same measurement – ​​called radius, from a fixed point called the center. ... (x - xc)^2 + (y – yc)^2 = R^2 → 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 circumference is at the origin (C(0,0)), the equation of the circumference will be x2 + y2 = r2. How to calculate the radius of the circumference? By dividing the diameter in half, we will obtain the radius of the circumference, that is, the radius (r) of a circumference is the segment that joins 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 the straight line reduced equation of the circle exercises general equation of the circle exercises reduced equation of the straight line general equation for reduced normal equation of the circle reduced equation of the circle solved exercises doc given the equation of the circle analytical geometry, GENERAL EQUATION OF THE CIRCUMFERENCE, DEVELOPED EQUATION OF THE CIRCUMFERENCE, reduced equation of the circle, Determine the equation of the circle with center at the point, REDUCED EQUATION OF THE CIRCUMFERENCE, General equation of the circle, circumference analytical geometry, reduced equation of the circle, determine the reduced equation of the circle with center c, general equation of the circle, General and reduced equation of the circle. Become a member of this channel and gain benefits:    / @murakami.   Now on the Matemática Rapidola channel, you can become a member of the Basic Statistics and Applied Statistics teams.