Circle
ICSE · Class 9 · Mathematics
Flashcards for Circle — ICSE Class 9 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Get startedWhat is a circle? Give its mathematical definition.
Answer
A circle is a closed curve formed by joining all points in a plane that are at the same fixed distance from a fixed point in the same plane. It is the locus of a point that moves in a plane such that …
Define: Chord, Diameter, and Circumference of a circle.
Answer
Chord: A line segment joining any two points on the circumference of a circle. Diameter: A chord that passes through the centre of the circle; it is the largest chord. Circumference: The perimeter of …
How do you identify if a point lies inside, outside, or on a circle?
Answer
For a circle with centre O and radius r: Interior point: Distance from centre < r. Exterior point: Distance from centre > r. Point on circumference: Distance from centre = r. Use the distance formula …
What are concentric circles and equal circles?
Answer
Concentric circles: Two or more circles that have the same centre but different radii. Equal circles (Congruent circles): Circles that have equal radii. Equal circles can have different centres but mu…
Distinguish between circumscribed and inscribed circles.
Answer
Circumscribed circle: A circle that passes through all vertices of a polygon. Its centre is called circumcentre and the polygon is called inscribed polygon. Inscribed circle (In-circle): A circle that…
Define: Arc, Minor arc, Major arc, and Semi-circle.
Answer
Arc: A part of the circumference of a circle. Minor arc: The smaller arc when a chord divides the circumference into two unequal parts. Major arc: The larger arc when a chord divides the circumference…
What is the difference between a segment and a sector of a circle?
Answer
Segment: The region bounded by an arc and a chord. Has minor segment (smaller than semi-circle) and major segment (larger than semi-circle). Sector: The region bounded by an arc and two radii joining …
State the theorem about a line drawn from the centre to bisect a chord.
Answer
Theorem: A straight line drawn from the centre of a circle to bisect a chord (which is not a diameter) is perpendicular to the chord. Conversely, the perpendicular to a chord from the centre of the ci…
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