# What is the formula for the area of a segment of a circle?

## What is the formula for the area of a segment of a circle?

Area of a Segment of a Circle Formula

Formula To Calculate Area of a Segment of a Circle
Area of a Segment in Radians A = (½) × r2 (θ – Sin θ)
Area of a Segment in Degrees A = (½) × r 2 × [(π/180) θ – sin θ]

How do I find the area of a segment?

To calculate the area of a segment, we will need to do three things:

1. find the area of the whole sector.
2. find the area of the triangle within the sector.
3. subtract the area of the triangle from the area of the sector.

What is segment in a circle?

Segment (of a Circle) Segment (of 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.

### What is a segment of a circle class 9?

A segment of a circle is defined as a region bounded by the chord and the corresponding arc lying between the endpoints of the chord. In other words, we can define it as a region of a circle, by breaking the circle through a secant of chord.

What is the formula to find area of minor segment?

Formulas which we will use are: I) Length of arc=θ360∘×2πr where r is radius of circle. II) Area of segment = Area of the sector – Area of a triangle. III) Area of sector=θ360∘×πr2 where r is radius of circle.

How many segments make a circle?

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 area of segment class 10th?

Any chord AB divides circle into two parts. The bigger part is known as major segment and smaller one is called minor segment. Area of major segment OAQB = πr2 — area of minor segment APB….Class 10 Key Points, Important Questions & Practice Papers.

Class 10 Maths कक्षा 10 गणित
Class 10 Science कक्षा 10 विज्ञान

What is a segment of a circle?

What is segment of a circle class 9?

## What is an example of a segment?

Common characteristics of a market segment include interests, lifestyle, age, gender, etc. Common examples of market segmentation include geographic, demographic, psychographic, and behavioral.

How to find the area of a segment of a circle?

Identify the radius of the circle and label it ‘r’.

• Identify the central angle made by the arc of the segment and label it ‘θ’.
• Find the area of the triangle using the formula (1/2) r 2 sin θ.
• Find the area of the sector using the formula (θ/360 o) × πr 2,if ‘θ’ is in degrees (or) (1/2) × r 2 θ,if θ’ is
• 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
• ### What is the area of a major segment circle?

Example 1: In a pizza slice,if the central angle is 60 degrees and the length of its radius is 4 units,then find the area of the segment formed

• Example 2: If the area of a sector is 100 sq.
• Example 3: Find the area of the major segment of a circle if the area of the corresponding minor segment is 62 sq.
• What is the formula for segment of a circle?

the length of the chord = 2r sin (θ/2) Thus, the perimeter of the segment formula is: The perimeter of the segment of a circle = rθ + 2r sin (θ/2), if ‘θ’ is in radians. The perimeter of the segment of a circle = πrθ/180 + 2r sin (θ/2), if ‘θ’ is in radians.