Circle
Maharashtra Board · Class 10 · Mathematics
Quick revision notes for Circle — Maharashtra Board Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
Circles Through Points
- Infinite circles can pass through one point
- Infinite circles can pass through two distinct points
- Only one unique circle passes through three non-collinear points
Tangent and Secant
- A tangent touches the circle at exactly one point called point of contact
- A secant intersects the circle at exactly two points
- Tangent is perpendicular to radius at point of contact
Touching Circles
- Two circles touch each other when they intersect at exactly one point
- External touching: distance between centers = sum of radii
- Internal touching: distance between centers = difference of radii
Arc and Central Angle
- Arc is a portion of the circle between two points
- Central angle has vertex at center of circle
- Measure of minor arc equals its central angle
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