Now AB is a chord of the circle C1 and OP ⊥ AB. We know that the tangent at any point of a circle is perpendicular to the radius through the point of contact. Then, AB is a tangent to C2 at P and OP is its radius. Solution: We are given 2 concentric circles C1 and C2 with centre O and a chord AB of the larger circle C1 which touches the smaller circle C2 at the point P. Practice Exam Questions What Is An Example Of Concentric Circles?Įxample 1: Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact. Quick Note: If you wish to obtain the family of circles, all you have to do is assign different values of radius. Hence, the circle concentric with the other circle has equation as: Similarly, a circle with centre (h, k), and the radius r, will have the equation: Here we observe that both the equations have the same centre, but have different radii and c ≠ c’. So, the equation of concentric circle is: We know that the equation of circle with centre (-g, -f) and radius √ is x 2 + y 2 + 2gx + 2fy + c =0.
Some concentric circle examples have been provided below: Concentric Circle Equations There are a lot of real-life concentric circle examples therefore you don’t have to imagine them. Study, Learn Everything On Circles Here Concentric Circles ExamplesĬoming to the concentric circles definition, these refer to circles having different radius but with the same centre or origin.
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