# How do you find segments in circles?

Table of Contents

## How do you find segments in circles?

What Is the Formula for Area of the Segment of a Circle? The area of the segment of the circle (or) minor segment of a circle is: (θ / 360°) × πr2 – (1/2) r2 sin θ (OR) r2 [πθ/360° – sin θ/2], if ‘θ’ is in degrees. (1/2) × r2θ – (1/2) r2 sin θ (OR) (r2 / 2) [θ – sin θ], if ‘θ’ is in radians.

What are the different segments of a circle?

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. A sector is the region bounded by two radii and an arc.

What is the rule of chords?

The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

### What is a segment in circle theorems?

The alternate segment theorem is one of the circle theorems. The theorem states that “For any circle, the angle formed between the tangent and the chord through the point of contact of the tangent is equal to the angle formed by the chord in the alternate segment”.

What is the segment Theorem?

The alternate segment theorem – Higher The angle between a tangent and a chord is equal to the angle in the alternate segment.

What is a segment in circle geometry?

Segment of a Circle Definition A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord’s endpoints. In other words, a circular segment is a region of a circle which is created by breaking apart from the rest of the circle through a secant or a chord.

## How are chords and secants different?

A straight line that intersects a circle in two points is called a secant line. A chord is the line segment that joins two distinct points of the circle. A chord is in a unique secant line and every secant line defines a unique chord. In geometry, a secant is a line that cuts any curve in at least two different points.

How many chords are in a circle?

4 chords can be drawn in a circle…..)

What is a segment in circle theorem?

The circle’s segment is the region between the chord and the corresponding circle’s arc. There are different theorems related to the circle.

### How do I learn circle theorems?

Circle Theorems and Proofs

1. Theorem 1: “Two equal chords of a circle subtend equal angles at the centre of the circle.
2. Theorem 2: “The perpendicular to a chord bisects the chord if drawn from the centre of the circle.”
3. Theorem 3: “Equal chords of a circle are equidistant (equal distance) from the centre of the circle.”

What is a segment of a circle in geometry?

A segment of a circle can be defined as a region bounded by a chord and a corresponding arc lying between the chord’s endpoints. In other words, a circular segment is a region of a circle which is created by breaking apart from the rest of the circle through a secant or a chord.

What is a minor segment of a circle?

If the area of the segment is minimum when compared to other part of the circle, the segment is called as minor segment. In this example, the segment formed by the arc IKJ and chord IJ ‾ is a minor segment due to the minor area of part of the circle. 2. Consider a point L on the circumference of the circle.

## What is the formula for circle segment?

Alternate Segment Theorem

• Angle in the Same Segment Theorem
• Alternate Angle Theorem
• How do you find the segment length of a circle?

– angle – arc length – area – chord length – height – radius

How do you calculate the area of a circle segment?

find the area of the whole sector

• find the area of the triangle within the sector
• subtract the area of the triangle from the area of the sector