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Areas Related to Circles

Gujarat Board · Class 10 · Mathematics

Flashcards for Areas Related to Circles — Gujarat Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

45 questions20 flashcards5 concepts

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20 Flashcards
Card 1Basic Definitions

What is a sector of a circle?

Answer

A sector of a circle is the portion (or part) of the circular region enclosed by two radii and the corresponding arc. It looks like a slice of pizza with the center of the circle as the vertex.

Card 2Basic Definitions

What is a segment of a circle?

Answer

A segment of a circle is the portion (or part) of the circular region enclosed between a chord and the corresponding arc. It is bounded by a chord and the arc it cuts off.

Card 3Basic Definitions

What is the difference between a minor sector and a major sector?

Answer

A minor sector is the smaller portion when a circle is divided by two radii, while a major sector is the larger portion. The angle of the major sector = 360° - angle of minor sector.

Card 4Basic Definitions

What is the difference between a minor segment and a major segment?

Answer

A minor segment is the smaller portion when a circle is divided by a chord, while a major segment is the larger portion. Together, they form the complete circle.

Card 5Area Formulas

What is the formula for the area of a sector?

Answer

Area of sector = (θ/360) × πr², where θ is the angle in degrees and r is the radius of the circle. This formula is derived using the unitary method from the total area of the circle.

Card 6Arc Length

What is the formula for the length of an arc?

Answer

Length of arc = (θ/360) × 2πr, where θ is the angle in degrees and r is the radius of the circle. This gives the length of the curved boundary of the sector.

Card 7Area Formulas

How do you find the area of a segment?

Answer

Area of segment = Area of corresponding sector - Area of corresponding triangle. This is because a segment is formed by removing the triangular portion from the sector.

Card 8Problem Solving

If the angle of a sector is 90° and radius is 7 cm, find the area of the sector.

Answer

Area = (θ/360) × πr² = (90/360) × π × 7² = (1/4) × π × 49 = 49π/4 = 12.25π cm² ≈ 38.48 cm²…

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Frequently Asked Questions

What are the important topics in Areas Related to Circles for Gujarat Board Class 10 Mathematics?
Areas Related to Circles covers several key topics that are frequently asked in Gujarat Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Areas Related to Circles — Gujarat Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Areas Related to Circles?
There are 20 flashcards for Areas Related to Circles covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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