Equation of Circle

In mathematical geometry, a round shape in which all the points on the boundary are at same distance from the center is known as a circle. The general Equation of Circle is given by: S 2 + T 2 = r2, where ‘r’ is the radius of a circle (Here S is along to the horizontal axis and ‘T’ is along the vertical axis). All of the points on the boundary of a circle are at fixed distance from the center is known as the radius of a circle. The general equation for circle is given by: (know more about Circle, here)

⇒ (x – s)2 + (y – t)2 = r2;

Now put the value of s, t, and r is 4, 5, 6 respectively then we get:

⇒ (x – 4)2 + (y – 5)2 = (6)2; on further solving the equation of a circle we get:

⇒ x2 + 16 – 8x + y2 + 25 – 10y = 36; So the equation of a circle is:

⇒ x2 + y2 – 8x – 10y + 41 = 36; we can also write it as:

⇒ x2 + y2 – 8x – 10y – 5 = 0; This is the required equation of a circle.

Here we can also write the general form of a circle using the constant value in place of numbers. So the equation of circle using constant is given by:

⇒ x2 + y2 + Sx + Ty + U = 0, here we will also see the equation of a unit circle. We know that ‘1’ is the radius of unit circle, if the radius of a unit circle is more or less then ‘1’ then the circle is not unit circle. The general equation of a unit circle is given by:

⇒ x2 + y2 = 1; let’s discuss how to graphing linear equations. In mathematics there are many methods through we can easily plot the graph of linear equation. To study more about the linear equations go through the online tutor of tamilnadu board of higher secondary education and In the next session we will discuss about adjacent angles.