![]() Grouping ?x?’s and ?y?’s together and moving the constant to the right side, we getĬompleting the square requires us to take the coefficient on the first degree terms, divide them by ?2?, then square the result before adding the result back to both sides. ![]() Before we move on to discuss the circle theorems, let us understand the meaning of a circle. In order to get the equation into standard form, we have to complete the square with respect to both variables. We study different circle theorems in geometry related to the various components of a circle such as a chord, segments, sector, diameter, tangent, etc. In order to find the center and radius, we need to change the equation of the circle into standard form, ?(x-h)^2+(y-k)^2=r^2?. tangent of circle: a line perpendicular to the radius that touches ONLY one point on the circle. Chord Length 2 × r × sin (c/2) Where, r is the radius of the circle. Chord Length 2 × (r 2 d 2) Chord Length Using Trigonometry. Chord Length Using Perpendicular Distance from the Center. ![]() ![]() The distance from C to P is called the radius. There are two basic formulas to find the length of the chord of a circle which are: Formula to Calculate Length of a Chord. Find the center and radius of the circle. The point C is the center of the circle and P is just a random point on the circumference. ![]()
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