1 / 8

Understanding the Circle: Radius, Diameter, and Circumference Explained

A circle is defined as a shape in which all points are equidistant from its center. The circumference refers to the distance around the circle, while the diameter is the distance across the circle through its center. This relationship can be explained by the mathematical constant Pi (approximately 3.14), which is the ratio of circumference to diameter. The circle's radius, the distance from its center to any point on its boundary, is half the diameter. Learn how to calculate circumference using the formulas C = π * d and d = 2 * r.

wilbur
Télécharger la présentation

Understanding the Circle: Radius, Diameter, and Circumference Explained

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Measuring a Circle Sherry Angel

  2. Circumference • A circle is a shape with all points the same distance from the center. It is named by the center. • The circle to the left is called circle A since the center is at point A.

  3. Circumference • If you measure the distance around a circle and divide it by the distance across the circle through the center, you will always come close to a particular value, depending upon the accuracy of your measurement. • This value is approximately 3.14159265358979323846... We use Pi to represent this value.

  4. Circumference • The distance around a circle is called the circumference. The distance across a circle through the center is called the diameter. Pi is the ratio of the circumference of a circle to the diameter. Thus, for any circle, if you divide the circumference by the diameter, you get a value close to pi.

  5. Radius The radius of a circle is the distance from the center of a circle to any point on the circle. If you place two radii end-to-end in a circle, you would have the same length as one diameter. Thus, the diameter of a circle is twice as long as the radius. This relationship is expressed in the following formula: d = 2 ·r where d is the diameter and r is the radius.

  6. Summary • The number Pi is the ratio of the circumference of a circle to the diameter. • The value of Pi is approximately 3.14. • The diameter of a circle is twice the radius. Given the diameter or radius of a circle, we can find the circumference. • We can also find the diameter (and radius) of a circle given the circumference. • The formula for diameter is d = 2 · r • The formula for circumference is C = Pi · d

  7. A great book to read about Circumference, radius, and diameter. http://www.amazon.com/Sir-Cumference-Great-Knight-Angleland/dp/157091169X/ref=pd_bbs_sr_2?ie=UTF8&s=books&qid=1202863195&sr=-2

  8. Credits • Picture- Amazon.com • Circle graphics and info from slides-static.bcsd.com/eissler_isp/gems/schneiderEis/CircumferenceofCircle.ppt

More Related