![]() Step 2: Plot the centre of the circle on the graph that is (-2, 6) The centre of the circle is (-2, 6) and the radius of the circle is 2. On comparing with the standard equation of the circle we get The equation of the circle is (x + 2) 2 + (y – 6) 2 = 4 Here, the centre of the circle is (h, k) and the radius of the circle is r. (x 2 + 6x + 9) + (y 2 – 4y + 4) – 9 – 4 = – 4Īnd the radius of the circle = 3 Graphing a circle from its standard equationĪs we know that the standard equation of the circle is To make it a perfect square identity, add and subtract 9 and 4, Find centre and radius of the circle from the given equation: On comparing with the standard equation of circle, we have ![]() Since the circle touches the x-axis,Ĭase 5: When the circle touched both the axes.Ĭase 6: When the circle passes through the origin and centre lies on x-axis.Ĭase 7: When the circle passes through the origin and centre lies on y-axis. Here, let centre be A(h, k) and O be the origin which passes through circle. On substituting in the standard equation of circle, we getĬase 2: When the circle passes through the origin. Now we will see the variation in the Standard equation of a circle:Ĭase 1: When centre of the circle is at the origin(0, 0) and radius in r. This is the relation between the coordinates of any point on the circumference and hence it is the required equation of the circle having centre at A(h, k) and radius equal to r. Now using the distance formula we find the value of AP Augmented Assignment Operators in Python.Average and Instantaneous Rate of Change.Class 11 NCERT Solutions - Chapter 3 Trigonometric Function - Exercise 3.1.Class 11 NCERT Solutions - Chapter 7 Permutations And Combinations - Exercise 7.1.Difference Between Mean, Median, and Mode with Examples.What is the Difference between Interactive and Script Mode in Python Programming?.ISRO CS Syllabus for Scientist/Engineer Exam.ISRO CS Original Papers and Official Keys.GATE CS Original Papers and Official Keys.
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