Areas Related to Circles
CBSE · Class 10 · Mathematics
Flashcards for Areas Related to Circles — CBSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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See them allWhat 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 vertex at the center of the circle.
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 the region cut off by a chord from the circle.
What is the difference between a minor sector and a major sector?
Answer
A minor sector is the smaller sector formed by two radii, while the major sector is the larger remaining portion. If the angle of the minor sector is θ, then the angle of the major sector is (360° - θ…
What is the difference between a minor segment and a major segment?
Answer
A minor segment is the smaller segment formed by a chord (usually less than semicircle), while the major segment is the larger remaining portion of the circle after removing the minor segment.
What is the angle of a sector?
Answer
The angle of a sector is the angle formed by the two radii at the center of the circle. It is denoted by θ (theta) and is usually measured in degrees.
Write the formula for the area of a sector of a circle.
Answer
Area of sector = (θ/360°) × πr² Where: - θ = angle of sector in degrees - r = radius of the circle - π = 22/7 or 3.14159...
Write the formula for the length of an arc of a sector.
Answer
Length of arc = (θ/360°) × 2πr Where: - θ = angle of sector in degrees - r = radius of the circle - 2πr = circumference of the complete circle…
How do you find the area of a segment of a circle?
Answer
Area of segment = Area of corresponding sector - Area of corresponding triangle Area of segment = (θ/360°) × πr² - Area of triangle OAB Where triangle OAB is formed by the two radii and the chord.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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