The Properties Of Circles: Circumference, Area, Chord, Tangent, Secant, And Arcs

Circle

Set of all points in a plane that are equidistant from a given point

A circle is a 2-dimensional geometric shape that consists of all points that are equidistant from a single fixed point, which is called the center of the circle. The distance between the center and any point on the edge of the circle is called the radius of the circle. Alternatively, the diameter of a circle is the distance across the circle, passing through the center.

Circles have several important properties, including:

1. Circumference: The circumference of a circle is the distance around the edge of the circle. It is calculated by multiplying the diameter of the circle by pi, which is a mathematical constant approximately equal to 3.14. Alternatively, the circumference can be calculated by multiplying the radius of the circle by 2 pi.

2. Area: The area of a circle is the total amount of space inside the edge of the circle. It can be calculated by multiplying pi by the square of the radius. Sometimes, the diameter is used instead by dividing it by 2 and squaring the result.

3. Chord: A chord is a line segment that connects two points on the edge of a circle. The longest chord is called the diameter of the circle, which divides the circle into two equal parts.

4. Tangent: A tangent to a circle is a straight line that touches the circle at only one point, called the point of tangency.

5. Secant: A secant is a straight line that intersects a circle at two points.

6. Arc: An arc is a portion of the circle’s edge that lies between two points. The measure of an arc is the angle that it subtends at the center of the circle.

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