120 likes | 433 Views
Circumference. Circumference. Objectives. To identify the parts of a circle. To derive a formula for circumference. 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. . Circumference.
E N D
Circumference Mrs. Bubello
Circumference Objectives To identify the parts of a circle. To derive a formula for circumference. 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. Mrs. Bubello
Circumference The diameter is a segment that passes through the center of a circle. Mrs. Bubello
Circumference The radius is a segment that has one endpoint at the center and the other point on the circle. Mrs. Bubello
Circumference The circumference is the distance around a circle. The ratio of every circle’s circumference to its diameter is the same. It has a special symbol, π, which is pronounced “pie”. Mrs. Bubello
Circumference Since pi equals the ratio of the circumference and diameter. C/d = π. Pi (π) is about 3.14 or 22/7. If you multiply by both sides of the equation by d, you get C = πd. 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. Mrs. Bubello