**Online Geometry Tutor USA, Pakistan – Expert Pakistani Geometry Tutor USA**

Online Best Geometry Tutor USA, Pakistani Geometry Tutor USA, Professor Masood Amir is Pakistan Best Geometry Tutor, He has an experience of over 28 years of teaching mathematics and statistics. He is well aware of almost all the curriculums of mathematics and its different branches, specially with Edexcel, GCSE, AQA, IB, USA, Canadian and Australian curriculums.

In this post We are discussing the circle and its properties, the theorems related to the circles, tangent, arc, inscribed circles, sircumscribed circles, chords, inscribed angles, angle measures and segment lengths, circles in the coordinate plane, locus of the circle.

**Circle:** Is the set of all point around a fixed point, the fixed point is called the * center of the circle*, The path or locus of the moving point P(x,y) around the circle is called

*.*

**circumference of the circle****Radial Segment:** The segment joing the center and the circumference is called * radial segment*, the length is called the

*denoted by*

**radius of the circle****“r”**.

**Chord:** The line which touches the circle at two points is called the *Chord of the circle.*

**Diameter:** The chord which passed through the center of the circle is called ** Diameter of the circle**. The length of the diameter is equal to the twice of the length of the radial segment or radius.

**d = 2r**

**Secant:** The line passes through the circle is called secant.

**Tangent:** A **tangent to a circle** is a line in the plane of the circle that intersects the circle in exactly * one point*.

**Point of Tangency:** The point where a circle and a tangent intersect is the * point of tangency*.

**Normal:** The line perpendicular to the tangent of the circle is called * Normal*,

*Normal is always passes through the center of the circle*.

**Arc:** Any unbroken part of the circumference or *curved line* is called an * arc*. A chord devides the circle into two parts, each consist of an arc.

**The Pi** : **“Pi”** is defined as the ratio between the length of the cirucumference and the diameter of the circle. **PI = C / d or PI = C / 2r **

**The value of PI:( 3.1416….) **In different era mathematician calculated different values of PI. you can see this webpage for further information. SEE

**Theorems Of Tangent Lines**: will soon posted in another post.

**Theorems of Chord and Arcs**: will soon posted in another post.

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