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arc, in geometry

(Encyclopedia) arc, in geometry, a curved line or any part of it; in particular, a portion of the circumference of a circle. The length s of an arc of a circle of radius r and subtending a central…

circumpolar star

(Encyclopedia) circumpolar star, star whose diurnal circle lies completely above or completely below an observer's horizon. A star whose diurnal circle lies above the horizon never sets, even though…

cone, in mathematics

(Encyclopedia) CE5 Cone cone or conical surface, in mathematics, surface generated by a moving line (the generator) that passes through a given fixed point (the vertex) and continually intersects…

Niccoli, Niccolò de'

(Encyclopedia) Niccoli, Niccolò de'Niccoli, Niccolò de'nēk-kōlôˈ dā nēkˈkōlē [key], 1363–1437, Italian humanist. One of the distinguished Florentine scholars in Cosimo de' Medici's circle, he wrote…

cylinder

(Encyclopedia) CE5 Cylinder cylinder, in mathematics, surface generated by a line moving parallel to a given fixed line and continually intersecting a given fixed curve called the directrix; each…

Scharoun, Hans

(Encyclopedia) Scharoun, HansScharoun, Hanshäns shärˈoun [key], 1893–1972, German architect. A member of the expressionist circle, Scharoun used a dynamic, sculptural approach to design throughout…

pi

(Encyclopedia) pi, in mathematics, the ratio of the circumference of a circle to its diameter. The symbol for pi is π. The ratio is the same for all circles and is approximately 3.1416. It is of…

tundra

(Encyclopedia) tundratundratŭnˈdrə [key], treeless plains of N North America and N Eurasia, lying principally along the Arctic Circle, on the coasts and islands of the Arctic Ocean, and to the north…

Ralph Waldo Emerson: Circles

CirclesNature centres into balls, And her proud ephemerals, Fast to surface and outside, Scan the profile of the sphere; Knew they what that signified, A new genesis were here.

How to Find Area of a Circle

This video demonstrates how students can use what they know about the area of a parallelogram to find the area of a circle.