Idaho Society of Professional Engineers PO Box 170239, Boise, ID 83717-0239 208-426-0636 Fax: 208-426-0639 E-Mail: ispe@idahospe.org |
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Idaho Society of Professional Engineers
• March 22 & 23, 2007 – ISPE 2007 Annual Meeting – Oxford Suites, Boise **All ISPE members are welcome to attend the General Membership Meeting only on Friday, March 23, from 11:30 am - 2:30 pm. There is no cost if you do not wish to have lunch.**
• May 11, 2007 – National MATHCOUNTS Competition – Convention Center, Fort Worth, Texas
• May 11, 2007 – ISPE Southwest Chapter Spring Fundraiser Golf Tournament - 4-Person Scramble - 1:00 PM - Purple Sage Golf Course
The Value of Pi -------------------------------------------------------------------------------- Around 2000 BC the Babylonians approximated the value of π to be 3 1/8 and the Egyptians approximated the value of π to be 4(8/9)2. What is the positive difference between these two approximations for the value of π? Express your answer as a decimal to the nearest thousandth. -------------------------------------------------------------------------------- Mary has decided to approximate the value of π by collecting some data. The table below shows her measurements for the length of the circumference and diameter of 5 different circles.
What is the mean of the circumference to diameter ratios of these circles? Express your answer as a decimal to the nearest thousandth. -------------------------------------------------------------------------------- The circumference of a circle can be found using the formula C = πD. The value for π can be approximated by inscribing and circumscribing a polygon with the same number of sides on a circle whose radius (R) is 1 unit. The circumference of the circle is greater than the perimeter of the inscribed polygon and less than the perimeter of the circumscribed polygon: Perimeterins poly ≤ 2πR ≤ Perimetercir poly
Using a circle with radius 1 gives: P/2ins poly ≤ π ≤ P/2cir poly
Let 2x represent the perimeter of a regular hexagon inscribed in a circle with radius 1 and let 2y represent the perimeter of a regular hexagon circumscribed about the same circle so that 2x ≤ π ≤ 2y. What is the mean of x and y? Express your answer as a decimal to the nearest hundredth. -------------------------------------------------------------------------------- By what percent does the hexagon method overestimate the accepted approximation of 3.14 for the value of π? Express your answer to the nearest tenth. -------------------------------------------------------------------------------- Click on http://pi.ytmnd.com/ for a pi surprise.
Answer to last week’s MATHCOUNTS
problem:
http://www.mathcounts.org/webarticles/anmviewer.asp?a=986&z=110 |
National Engineers Week - Future City Competition
Board of Professional Engineers and Professional Land Surveyors
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