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Understand orthogonal circles using examples here!

The geometric field is vast and there are different examples and shapes that you read about daily. The Circle, rectangle, triangle and many more are there. However, hardly many of you have read about Orthogonal Circles. These are some new parts that many students are unaware of. How many of you have gone through Venn diagrams? In your higher mathematics classes, you have read or might be reading about the ‘SETS’ module, in that all Venn diagrams symbolize the orthogonal circle. 

These are also types of circles that are intersecting to each other and forming a 90 degree angle at the curve of a circle. to give you more details on it, we have brought this post and here is some amazing information related to the same. 

Circle: Explained in Details

How many have you saw the round shape figure? Whether it is a dish, tyre or a bangle, all are in the circular shape. Thus, if you have closely observed them, you could have noticed that there is an enclosed figure with the round curve boundary. It means there is no angle forming among curves. This figure we call it in simpler terms as the circle. In mathematical geometry, there are many modules based on the circle module and you will have to go through its equational form and other theoretical concepts. 

Only talking about the circle, there are several other concepts involved in it. For that purpose, you have to go through your textbooks and other study materials that involve vital concepts. In the circle, there are different elements like the radius (the line segment from the central point of the circle to the circumference.

What Are Called Orthogonal Circles?

Before jumping to the information of orthogonal circles, it is recommended to understand the meaning of orthogonal first. It means that two figures are involved with right angles which is 90 degrees. You can imagine that shapes like square, triangle, rectangle and others possess the feature of 90 degree angle. But what about the circle? Will it be possible to intersect two circles at 90 degrees?

Yes, it is possible if you have accurate measures of the circle’s radius and it could give you orthogonal circles. For that purpose, you need to draw two circles with two different radii. And ensure that one circle’s tangent is touching the other circle’s circumference. In this manner, you get your orthogonal circles ready.

How to draw orthogonal circles?

Taking the fix point ‘A’ draws one circle, you have the freedom to choose your radius length. Now, on the exterior of the circle, choose any random point ‘B’ and draw one circle ensuring both cut each other. Draw one imaginary tangent ‘T’ from the center of the circle which you have drawn through the point ‘B’ and this tangent should touch the circle of point ‘A’ circumference. Thus, you can see that both of them are forming orthogonal circles and there you get the actual result which you were looking for.

Always remember this geometric construction of orthogonal circles. It will help you in solving different questions and difficult problems related to the orthogonal circle.

We recommend you to practice daily and keep your geometrical skills up. It will help you in overcoming the phobia of geometry and you can score maximum numbers in your exam.