Understanding Radian Measure

High School Mathematics

A circle O with radius 1 unit has its center placed at the origin. Let A be its intersection with the x-axis at (1,0) and P be another point on its circumference. If we move P along its circumference, then we can determine the distance traveled by P. If we let A be the starting point of P as it moves counterclockwise, then the distance traveled by P is equal to the length of arc AP represented by the red arc in the following figure.

radian 2

To be able to know the length of arc AP, first, we must know the total distance traveled by P from A going counterclockwise and back to A  (i.e. complete revolution). That is, we need to find the circumference of the circle. Since a unit circle has radius 1 unit, its circumference C is  » Read more

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Recognize Handwritten Equations with MyScript MathPad

High School Mathematics

Years ago, I shared about Web Equation, a website that lets you hand write equations and solve them via Wolfram Alpha. In this post, I am going to introduce to you another handwritten equation recognition app, the MyScript Mathpad.

MyScript Mathpad is a handwriting recognition app specialized for mathematics expressions. MyScript Mathpad automatically converts handwritten mathematical expressions and equations to their digital equivalent. It can recognize more than 200 symbols and operators.

MyScript Mathpad

via iTunes

Equations created with MyScript Mathpad can be exported to Latex and MathML.  It can also be shared through Twitter, Facebook, Google+ and other social media.

There are two features that I like about MyScript Mathpad. The first one is its scratch-out and strike-through gesture editing.  If you want to delete something, all you have to do is to scratch-out the expression you want and it’s gone. The second one is its support for left-handed persons.

MyScript MathPad is compatible with iPad, iPhone, and iPod Touch running in iOS 6.0 or later.

It’s FREE!

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Understanding Point Symmetry

High School Geometry, High School Mathematics

In the previous post, we have learned about line symmetry. In this post, we are going to learn about point symmetry, another type of symmetry.

If a figure is rotated 180 degrees about a point and it coincides with its original position, then it is said that the figure has point symmetry. The point of rotation is called the point of symmetry.

The figure below shows the point symmetric polygon ABCDEF rotated clockwise about P, its point of symmetry. The polygon outlined by the dashed line segments shows its original position.  » Read more

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