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Chapter 11 of 16
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Areas Related to Circles

Madhya Pradesh Board · Class 10 · Mathematics

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

116 questions48 flashcards5 concepts

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A labeled diagram illustrating the definitions of minor sector, major sector, minor segment, and major segment of a circle, with the center, radius, chord, and arc clearly marked.
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48 Flashcards
Card 1Area of sector

Find the area of a sector with radius 4 cm and angle 30°.

Answer

Step 1: Use area of a sector = (θ/360) × πr². Step 2: Substitute θ = 30° and r = 4 cm. Step 3: Area = (30/360) × 3.14 × 4² = (1/12) × 3.14 × 16. Step 4: Area = 4.1867... cm². Answer: 4.19 cm² approxim

Card 2सेक्टर का क्षेत्रफल

त्रिज्या 4 cm और कोण 30° वाले सेक्टर का क्षेत्रफल ज्ञात कीजिए।

Answer

चरण 1: सेक्टर का क्षेत्रफल = (θ/360) × πr² का उपयोग कीजिए। चरण 2: θ = 30° और r = 4 cm रखिए। चरण 3: क्षेत्रफल = (30/360) × 3.14 × 4² = (1/12) × 3.14 × 16। चरण 4: क्षेत्रफल = 4.1867... cm²। उत्तर: लगभग

Card 3Major sector

Find the area of the corresponding major sector when the minor sector has radius 4 cm and angle 30°.

Answer

Step 1: Area of the circle = πr² = 3.14 × 4² = 50.24 cm². Step 2: Minor sector area = 4.19 cm². Step 3: Major sector area = total circle area − minor sector area. Step 4: Major sector area = 50.24 − 4

Card 4दीर्घ सेक्टर

जब लघु सेक्टर की त्रिज्या 4 cm और कोण 30° हो, तो उससे संबंधित दीर्घ सेक्टर का क्षेत्रफल ज्ञात कीजिए।

Answer

चरण 1: वृत्त का क्षेत्रफल = πr² = 3.14 × 4² = 50.24 cm²। चरण 2: लघु सेक्टर का क्षेत्रफल = 4.19 cm²। चरण 3: दीर्घ सेक्टर का क्षेत्रफल = कुल वृत्त का क्षेत्रफल − लघु सेक्टर का क्षेत्रफल। चरण 4: दीर्घ से

Card 5Arc length

Find the length of an arc of a sector with radius 21 cm and angle 60°.

Answer

Step 1: Use length of an arc = (θ/360) × 2πr. Step 2: Substitute θ = 60° and r = 21 cm. Step 3: Arc length = (60/360) × 2 × (22/7) × 21. Step 4: Arc length = (1/6) × 132 = 22 cm. Answer: 22 cm.

Card 6चाप की लंबाई

त्रिज्या 21 cm और कोण 60° वाले सेक्टर के चाप की लंबाई ज्ञात कीजिए।

Answer

चरण 1: चाप की लंबाई = (θ/360) × 2πr का उपयोग कीजिए। चरण 2: θ = 60° और r = 21 cm रखिए। चरण 3: चाप की लंबाई = (60/360) × 2 × (22/7) × 21। चरण 4: चाप की लंबाई = (1/6) × 132 = 22 cm। उत्तर: 22 cm।

Card 7Area of sector

Find the area of the sector of radius 21 cm and angle 120°.

Answer

Step 1: Use area of a sector = (θ/360) × πr². Step 2: Substitute θ = 120° and r = 21 cm. Step 3: Area = (120/360) × (22/7) × 21². Step 4: Area = (1/3) × (22/7) × 441 = 462 cm². Answer: 462 cm².

Card 8सेक्टर का क्षेत्रफल

त्रिज्या 21 cm और कोण 120° वाले सेक्टर का क्षेत्रफल ज्ञात कीजिए।

Answer

चरण 1: सेक्टर का क्षेत्रफल = (θ/360) × πr² का उपयोग कीजिए। चरण 2: θ = 120° और r = 21 cm रखिए। चरण 3: क्षेत्रफल = (120/360) × (22/7) × 21²। चरण 4: क्षेत्रफल = (1/3) × (22/7) × 441 = 462 cm²। उत्तर: 462

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Frequently Asked Questions

What are the important topics in Areas Related to Circles for Madhya Pradesh Board Class 10 Mathematics?
Areas Related to Circles covers several key topics that are frequently asked in Madhya Pradesh 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 — Madhya Pradesh Board Class 10 Mathematics?
Understand the core concepts first, then work through the 116 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
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There are 48 flashcards for Areas Related to Circles covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

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