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Tangent. Construction of Tangents from Point Outside of the Circle. CBSE, ICSE, SSC, CLASS X, MATHEMATICS, GEOMETRY.



How to construct tangents to a given circle from a point, outside the circle.

It is an important Geometry construction for WBBSE, SSC, ICSE, CBSE et cetera Board exam of class ten. It is very interesting and also easy to solve problem in class ten Mathematics.

Before we proceed further, keep in mind that, this is the only YouTube channel where all the geometric construction, theories and interpretations of science and Mathematics are shown, with the help of 3D animation. So, in order, not to lose the channel from your phone, subscribe to the channel right now.


We will learn drawing of tangents by solving a question.

Statement of the question is like this.

Draw a circle with a radius of 3 cm in length. Draw two tangents on that circle from an outer point 7 cm away from the center of the circle.


This question is mentioned on page number 244, in exercise 11.2, in the N C E R T Mathematics textbook for the tenth grade students of the Central Board of Secondary Education. But, the measurements of radius and distance are different.

However, textbooks belong to other boards, too have similar questions. Only the sizes and measures are different.

So, let's start the construction.

First, we need to draw a 7 cm line section and a 3 cm line section on the left side of the page. The procedure shown here is perfect for drawing line segments of a certain size.


Then, a large straight line section of any size is drawn in the middle of the page.

There after, the 7 cm size is taken with a pencil compass. And 7 cm is cut from that large section.

The two endpoints are named, A, and, B.

Now, with a radius of 3 cm, a circle is drawn taking point, B, as its center.

Now, we see, two tangents of this circle must be drawn from the point, A.

For this, we must first find the midpoint of the line segment AB.

With the compass, it is easy to find the midpoint of the segment AB. We just need to subdivide the line into two equal parts. Thus, we get the point, C, as the midpoint.

A circle of radius, C, A, is drawn by taking C as the center.

If, say, only one tangent were asked to draw in the question, the work would have been done by drawing a semicircle only.

Suppose the circle intersects the previous circle at points Y and Z.

Now adding the points A and Z gives the first tangent.

Then joining A to Y produces another Tangent.

So, we get the two required tangents.

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Thank you for watching the video till the end.

How to construct tangents to a given circle from a point, outside the circle.

It is an important Geometry construction for WBBSE, SSC, ICSE, CBSE et cetera Board exam of class ten. It is very interesting and also easy to solve problem in class ten Mathematics.

In this 3D animation video, we are now going to learn the steps, on how to draw tangent to a circle from a point outside of the circle.


Before we proceed further, keep in mind that, this is the only YouTube channel where all the geometric construction, theories and interpretations of science and Mathematics are shown, with the help of 3D animation. So, in order, not to lose the channel from your phone, subscribe to the channel right now.


We will learn drawing of tangents by solving a question.

Statement of the question is like this.

Draw a circle with a radius of 3 cm in length. Draw two tangents on that circle from an outer point 7 cm away from the center of the circle.


This question is mentioned on page number 231 in the textbook named "Ganit Prakash" for the tenth grade students of the West Bengal Board of Secondary Education.

However, textbooks belong to other boards, too have similar questions. Only the sizes and measures are different.

So, let's start the construction.

First, we need to draw a 7 cm line section and a 3 cm line section on the left side of the page. The procedure shown here is perfect for drawing line segments of a certain size.


Then, a large straight line section of any size is drawn in the middle of the page.

There after, the 7 cm size is taken with a pencil compass. And 7 cm is cut from that large section.

The two endpoints are named, A, and, B.

Now, with a radius of 3 cm, a circle is drawn taking point, B, as its center.

Now, we see, two tangents of this circle must be drawn from the point, A.

For this, we must first find the midpoint of the line segment AB.

With the compass, it is easy to find the midpoint of the segment AB. We just need to subdivide the line into two equal parts. Thus, we get the point, C, as the midpoint.

A circle of radius CA is drawn by taking C as the center.

If, say, only one tangent were asked to draw in the question, the work would have been done by drawing a semicircle.