# Mathematics for Technology I (Math 1131)

Study Force Academy
Durham College, Mathematics
Free
• 55 lessons
• 1 quizzes
• 10 week duration
• ##### Numerical Computation

Here you'll be introduced to the bare basics of mathematics. Topics include commonly used words and phrases, symbols, and how to follow the order of operations.

• ##### Measurements

An introduction to numerical computation. Emphasis is placed on scientific and engineering notation, the rule of significant figures, and converting between SI and Imperial units.

• ##### Trigonometry with Right Triangles

Here we focus on right angle triangles within quadrant I of an x-y plane. None of the angles we evaluate here are greater than 90°. A unit on trigonometry with oblique triangles is covered later.

• ##### Trigonometry with Oblique Triangles

This unit is a continuation of trigonometry with right triangles except we'll extend our understanding to deal with angles *greater* than 90°. Resolving and combining vectors will be covered at the end of this unit.

• ##### Geometry

This unit focuses on analyzing and understand the characteristics of various shapes, both 2D and 3D.

## Mathematics for Technology I (Math 1131)

### Convert Angles between Degrees and Radians

Another way to represent an angle is by using radians. Without getting too technical, a radian is defined as the angle between 2 radii (plural for radius) of a circle where the arc between them has length of one radius.

While it’s not stated in the animation, the arc length equals the length of one radius when the angle is approximately 57.2958°. This leads us to two new conversion ratios:

Extending this notion further:

We can use any of these conversion ratios to convert between radians and degrees. Let’s watch three examples:

Now you might run into a situation where you’ll be expected to convert an angle in radians to degrees, minutes, seconds – which was covered extensively in the previous lesson. To make this conversion, you’ll need the conversion ratios introduced above along with ones stated below:

• 1 minute (‘) is equal to 1/60 of a degree.
• 1 second (”) is equal to 1/3600 of a degree.

A video demonstration is shown below:

• Keep in mind that the answer provided doesn’t take into account significant figures.