spring 2007mrs. bubello circumference. spring 2007mrs. bubello circumference objectives to identify...
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![Page 1: Spring 2007Mrs. Bubello Circumference. Spring 2007Mrs. Bubello Circumference Objectives To identify the parts of a circle. To derive a formula for circumference](https://reader036.vdocuments.site/reader036/viewer/2022080905/56649ebb5503460f94bc2ff8/html5/thumbnails/1.jpg)
Spring 2007 Mrs. Bubello
Circumference
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Spring 2007 Mrs. Bubello
Circumference
Objectives
To identify the parts of a circle.
To derive a formula for circumference.
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Spring 2007 Mrs. Bubello
Circumference
A circle is the set of all points in a plane that are the same distance from a given point, called the center of the circle.
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Spring 2007 Mrs. Bubello
Circumference
The diameter is a segment that passes through the center of a circle.
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Spring 2007 Mrs. Bubello
Circumference
The radius is a segment that has one endpoint at the center and the other point on the circle.
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Spring 2007 Mrs. Bubello
Circumference
The ratio of every circle’s circumference to its diameter is the same.It has a special symbol, π, which is pronounced “pie”.
The circumference is the distance around a circle.
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Spring 2007 Mrs. Bubello
Circumference
If you multiply by both sides of the equation by d, you get C = πd.
Pi (π) is about 3.14 or 22/7.
Since pi equals the ratio of the circumference and diameter. C/d = π.
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Spring 2007 Mrs. Bubello
Circumference• The Egyptians and the Babylonians knew about the existence of the constant ratio pi.
• They didn’t know the value as we know it today.
• The Babylonians had an approximation of pi = 3 1/8 = 3.125.
• The Egyptians had a somewhat worse approximation of pi = 4*(8/9)^2 = 3.160484.