Tangent Circles Examples. The following figure shows a circle with a point p. At the point of tangency, the tangent of the circle is perpendicular to the radius.

Here we have circle a where a t ¯ is the radius and t p ↔ is the tangent to the circle. Therefore, we’ll use the point form of the equation from the previous lesson. This is an example of a tangent to circle.

### A Tangent Is A Line That Never Enters The Circle’s Interior.

The following figure shows a circle with a point p. If the two circles touch at just one point, with one inside the other, there is just one line that is a tangent to both: If the circles lie one inside the other, there are no tangents that are common to both.

### Intersect At Two Points, There Are Two Tangents That Are Common To Both:

In a coordinate plane, the equation for a circle is. Example 1 find the equation of the tangent (s) of slope 4/3 to the circle x 2 + y 2 = 25. Angles at the centre example 4:

### At The Point Of Tangency, The Tangent Of The Circle Is Perpendicular To The Radius.

Examples, solutions, videos, games, activities and worksheets about tangents and circles that are suitable for gcse maths. The following figures give some examples of tangents and circles. Let's try an example where a t ¯ = 5 and t p ↔ = 12.

### Knowing These Essential Theorems Regarding Circles And Tangent Lines, You Are Going To Be Able To Identify Key Components Of A Circle, Determine How Many Points Of Intersection, External Tangents, And Internal Tangents Two Circles Have, As Well As Find The Value Of Segments Given The Radius And The Tangent Segment.

How do we find the length of a p ¯? Also find the point (s) of contact. A tangent of a circle is defined as a straight line that touches or intersects the circle at only one point.

### Alternate Segment Theorem Example 6:

A tangent l passes through p has been drawn. (ii) when a stone is tied at one end of a string and rotated from the other end, the stone will follow a circular path. Scroll down the page for more examples and solutions.