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A circle is the set of all points in a plane at the same distance from a certain point. This point is called the center of the circle. A circle is labeled by its center point: circle O means the circle with center point O. Concentric. Two circles of different size with the same center are called concentric. Radius.
An arc of a circle whose measure is less than 180 degrees. An arc of a circle whose measure is greater than 180 degrees. The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle. A line in the plane of a circle that intersects the circle in exactly one point.
- Circle Facts
- How to Find The Circumference of A Circle
- How to Find The Diameter of A Circle
- How to Find The Radius of A Circle
- How to Find The Area of A Circle
- Circle Vocabulary Terms
- References
A circleis a two-dimensional shape formed by all the points that are the same distance from a center point.Technically, only the points equidistant from the center form the circle. The area enclosed within a circle is called a disc.The word circle comes from the Greek word κρίκος (krikos), meaning “hoop” or “ring”.A circle is the only one-sided shape containing an area. A straight line is a circle containing an infinitearea.The circumference(C) is the distance around a circle. There are a few ways to find the circumference. You can calculate it from either the radius (r) or diameter (d) or you can measure it. 1. C = 2πr 2. C = πd 3. It’s easiest to measure a circle’s circumference using a string. Shape the string around the circle, mark the length, and then use a rule...
The diameter(d) is the length of the line segment with end points on the circle that passes through its center. It is the longest distance across a circle. The diameter is twice the length of the radius. 1. d = 2r 2. d = C/π 3. Measure the diameter by finding the longest line segment across a circle.
The radius(r) is the distance from the center of a circle to its border. It is half the length of the diameter. 1. r = d/2 2. r = C/2π 3. If you draw a circle using a compass, the radius is the distance between its two points. Measuring the radius of a circle is a bit tricky unless you know its center. Sometimes its easier to measure the circumfere...
The area (A) of a circle is the region enclosed by a circle or the area of its disc. 1. A = πr2 2. A = π(d/2)2 3. A = Cr/2 – You can use Archimedes’ proof to find the circle area using its circumference and radius. Set the base of the triangle equal to circumference C and height equal to radius r. The triangle area formula1/2 bh becomes A = Cr/2
Here are key circle vocabulary terms to know: 1. Annulus: An annulus is a ring-shape formed between two concentric circles. 2. Arc: An arc is any segment of a circle formed by connected points. 3. Center (Centre): The center is the point that is equidistant from all points on a circle. It is also called the origin. 4. Chord: A chord is a line segme...
Gamelin, Theodore (1999). Introduction to Topology. Mineola, N.Y: Dover Publications. ISBN 0486406806.Harkness, James (1898). “Introduction to the theory of analytic functions”. Nature. 59 (1530): 30. doi:10.1038/059386a0Katz, Victor J. (1998). A History of Mathematics / An Introduction(2nd ed.). Addison Wesley Longman. ISBN 978-0-321-01618-8.Ogilvy, C. Stanley (1969). Excursions in Geometry. Dover.Jul 31, 2023 · Clatsop Community College. The equation for a circle is typically given as: (x − h)2 + (y − k)2 = r2 In this equation, the point (h, k) represents the center of the circle and r represents the radius of the circle. This equation is derived from the distance formula. The definition of a circle is the locus (or collection) of points that are ...
Lesson 1: Area and circumference of circles. Geometry FAQ. Radius, diameter, circumference & π. Labeling parts of a circle. Radius, diameter, & circumference. Radius and diameter. Radius & diameter from circumference. Relating circumference and area. Circumference of a circle.
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It is the only value expressed in squared units (for example, cm²). You can calculate it as follows: If you know the radius or diameter of the circle, the area of the circle formula is: a = πr² = π × (d / 2)². If radius and diameter are unknown, you can calculate it from the circumference: a = c² / 4π.
