- 21-Jul-2022

A portion of a circle is covered by two radii and an arc. A circle is divided into two sectors and the divided parts are known as minor sectors and major sectors. The large portion of the circle is the major sector whereas **the smaller portion** is the minor sector.

The radius of the circle is 7 inches and the angle is 60°. So, let us use the area of sector formula. **The area of sector = (θ/360°) × π r ^{2}** = (60°/360°) × (22/7) × 7

The portion (or part) of the circular region enclosed between a chord and the corresponding major arc is called major segment of the circle. **The portion (or part) of the circular region enclosed between a chord and the corresponding minor arc** is called minor segment of the circle.

The bigger part is known as major segment and smaller one is called minor segment. Area of major segment OAQB = πr^{2} — **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 |

Area of a Segment of a Circle

Parameters of Circles | Formulas |
---|---|

Length of an arc of a sector of angle θ | (θ/360°) × 2πr |

Area of major sector | πr^{2} – (θ/360°) × πr^{2} |

Area of a segment of a circle | Area of the corresponding sector – Area of the corresponding triangle |

Area of the major segment | πr^{2} – Area of segment (minor segment) |

Answer: area of segment = **area of sector - area of triangle**.

A portion of a circle is covered by two radii and an arc. A circle is divided into two sectors and the divided parts are known as minor sectors and major sectors. The large portion of the circle is the major sector whereas **the smaller portion** is the minor sector.

**Mathematics is the branch of science**, which deals with numbers, involves calculations and mainly focuses on the study of quantity, shapes, measurements etc. The greatest mathematician Benjamin Peirce defined math as “the science that draws the necessary conclusion”.

**Mathematics is the science** and study of quality, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions.

Historically, **there have been strong links between mathematics and philosophy**; logic, an important branch of both subjects, provides a natural bridge between the two, as does the Philosophy of mathematics module.

Scientific 'Knowledge' of a subject is 'Science' and therefore 'Mathematics' is a science. Yes, mathematics is a science simply because **it is the building block for almost everything we used on a daily basis in different areas of studies**, such as sports, materials, architecture, engineering, chemistry, etc.

Mathematics is inherently different from other disciplines. While it is wildly creative, **it is not art**. While it can be used to model natural phenomena, it is not science. There are elements of both art and science in the field, but it isn't a subset of either.

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