STEM12-math 108

# STEM12-math 108 - Math Learning Center Boise State ©2010...

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Unformatted text preview: Math Learning Center Boise State ©2010 More Formulas: circles: week 12 STEM Due to the geometric shape of circles, they play an important role in our society. Depending on the industry that one works in, understanding the effects of a circle may play a daily role. This might include anything from designing storage systems to understanding circular farming methods. In today’s activity, we will develop an equation for a circle in general and then take a deeper look at formulas. To begin with, let’s take a look at an equation that few people forget: the Pythagorean Formula for finding lengths of sides of a right triangle: g G ¡ ¢ G £ ¤ G This appears to be a very easy formula to remember and is primarily due to its simplistic relation with our alphabet (our a, b, c’s). It is really too bad that more formulas don’t have a simplistic pneumonic device to make remembering them this easy, but since they don’t, we just have to build our skills to make it easier to remember those formulas which become important to us. From the Pythagorean formula it is easy to build the formula for finding the distance between two points: ¥¦ § u ¨ § © Uª« ¥¦ G u¨ G © . Consider the two points on a graph: If we desire to find the distance between the two points, we can easily build a right triangle. g ¢ ¤ ¥¦ § u¨ § © ¥¦ G u¨ G © Math Learning Center Boise State ©2010 We can find the length of the two sides of the triangle by considering that only the x value changes on the horizontal axis and only the y-value changes on the vertical axis so that we have: Next, we substitute these lengths into the Pythagorean Formula: gG ¡ ¢ G £ ¤ ¡ ¥ g¦ ¡ ¢ ¦ £ ¤ ¡ § ¨ ¡ The next substitution is to replace the C with a d to represent distance...
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STEM12-math 108 - Math Learning Center Boise State ©2010...

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