What are the segments in a circle?

A segment is a region bounded by a chord of a circle and the intercepted arc of the circle. A segment with an intercepted arc less than a semicircle is called a minor segment. A sector with an intercepted arc greater than a semi-circle is called a major segment.

Do circles have segments?

A circle may be divided into two or more segments. A segment is the region of a circle bounded by a chord and an arc. If the circle is divided into two segments, the bigger portion is called the major segment and the smaller portion is called the minor segment. The semi-circle is the biggest segment of any circle.

What is a circle line segment?

A line segment that crosses the circle by passing through its center is called a diameter. The diameter is twice the length of the radius. In the circle above, AC is a diameter of the circle. A chord is a segment that also has endpoints on the circle, but does not need to cross through the center.

What is segment of a circle class 10?

Part of the circular region enclosed by two radii and the corresponding arc is called a sector of the circle. Part of the circular region enclosed between a chord and the corresponding arc is called a segment of the circle.

What is a sector and segment?

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. The segment of a circle is the region bounded by a chord and the arc subtended by the chord.

What is circle and its parts?

Important Circle Parts. Radius: The distance from the center of the circle to its outer rim. Chord: A line segment whose endpoints are on a circle. Diameter: A chord that passes through the center of the circle. Secant: A line that intersects a circle in two points.

What are the characteristics of a circle?

The circle is the shape with the largest area for a given length of perimeter (see Isoperimetric inequality). The circle is a highly symmetric shape: every line through the centre forms a line of reflection symmetry, and it has rotational symmetry around the centre for every angle.

What is the area of a segment?

The area of a segment can be calculated in radians using the following formula: A = (½) × r2 (θ – Sin θ)

What is segment and sector?

What are the properties of a segment of a circle?

The properties of a segment of a circle are: It is the area that is enclosed by a chord and an arc. The angle subtended by the segment at the center of the circle is same as the angle subtended by the corresponding arc. This angle is usually known as the central angle.

How to find the minor segment of a circle?

The angle subtended by the segment at the center of the circle is the same as the angle subtended by the corresponding arc. This angle is usually known as the central angle. A minor segment is obtained by removing the corresponding major segment from the total area of the circle.

What are the properties of a minor segment?

There are two types of segments, one is a minor segment, and the other is a major segment. A minor segment is made by a minor arc and a major segment is made by a major arc of the circle. The properties of a segment of a circle are:

How are the lengths of tangent segments related?

P A P B C A B C QUESTIONHow are the lengths of tangent segments related? A line can intersect a circle at 0, 1, or 2 points. If a line is in the plane of a circle and intersects the circle at 1 point, the line is atangent.