Circles: Chords, Tangents and Sectors A circle is a plane figure with a fixed radius, which is the distance from the center to any point on the circle. A ci...
Circles: Chords, Tangents and Sectors
A circle is a plane figure with a fixed radius, which is the distance from the center to any point on the circle. A circle can be considered as a two-dimensional extension of a sphere.
The circumference of a circle is the length of its perimeter, and its area is the region enclosed by the circle. The perimeter is equal to the circumference of the circle, and the area is equal to pi times the radius squared.
The circumference of a circle with radius r is given by the formula:
The area of a circle with radius r is given by the formula:
A chord is a line segment that connects two points on a circle. A chord is also a chord if its endpoints are located on the circumference of the circle.
A tangent is a line segment that intersects a circle at one point. A tangent line segment is also a chord if it is perpendicular to the radius through the point of intersection.
A sector is a portion of a circle that is bounded by two radii and an arc. A sector can be divided into smaller parts by cutting it with a line segment, and each part is called a segment.
The area of a sector is equal to the product of its radius and the arc length. The arc length is the length of the portion of the circle that is bounded by the radius and the angle formed by the chord and the radius.
These are just the basic concepts of circles. There are many other concepts and theorems that can be learned about circles, but this is a good overview