What do you mean by the Chord and Sector of a Circle?
Probably the most appealing shape in many potential ways in the world is the circle. In this article, let us understand what a circle is and what are the chord of circle and the sector of a circle. The circle has its own importance too much such that even the divine forces preferred a sphere form for almost all celestial bodies. We know that our world is spherical, including the other planets as well, revolving around a round sun.
We’ve probably come across words like the diameter of a circle in mathematics, which were created because of this form. The shape of the circle is almost always selected by nature by every celestial body, and therefore it is common for human beings to observe a circle and its properties, as well as to quantify the measure of a circle using the area of a circle.
The circle is the most basic of form with no vertices or corners, made up of one smooth curved line that goes around a fixed point that is called the circle’s center, and all the points on the circle are equidistant from the center point. The diameter of the circle is determined by how far the circle’s perimeter is, from the center. The circle grows in size as the diameter increases. The circumference of the circle is the distance from the circle’s center to some point on its perimeter, and it is still the same size no matter which point on the circle’s periphery we choose. We will be uncovering terms like the chord and sector of circle after understanding the basics of the circle later in this post.
A circle is often characterized as a locus formed as a point that travels around a fixed point while maintaining a fixed distance; the path thus carved is a circle, and the fixed point is known as the circle’s center, and the fixed distance is known as the circle’s radius. All of the points on a circle’s perimeter are at the same set distance from the circle’s center.
Since circles have fascinated humanity since the dawn of time, keep in mind that the first wheel was also circular. Many people found that when the length of the circle’s periphery was calculated manually, it often had a fixed ratio to twice the radius.
Depending on where a line is drawn on a circle, several multiple concepts in geometry arise. A line that splits the circle at two points and also runs through the middle of the circle is known as the diameter, and it divides the circle into two separate parts. A tangent to the circle is a line that crosses the circle at precisely one point, and if we draw a distance to the point of contact, the radius and the tangent would be perpendicular to each other.
But what if a line divides a circle into two points but does not cross around the circle’s center ? This isn’t a diameter. In this case, the circle will be divided into two parts or sectors, a smaller one and a larger one. A chord is a line that divides the circle in two parts, and it has a special name as diameter if it goes through the middle.
A sector, on the other hand, can be called a section of the circle consisting of two radii arms and a curvature path.
Drawing a triangle by linking the two intersection points of the chord and the circle with the circle’s center is a common method for determining the chord’s length. Thus, an isosceles triangle with two sides of equal length, equal to the radius of the circle, is formed, and the length of the chord can be determined using trigonometry if the angle formed by the two radius lines is understood. For more facts on the circle, visit the Cuemath website.
