10. CIRCLES
This chapter explores the properties and characteristics of tangents to circles, defining tangents as lines that touch the circle at a single point. It establishes that the tangent is perpendicular to the radius at the point of contact and examines the conditions under which tangents can be drawn from points both inside and outside the circle. Various activities and examples illustrate these concepts and highlight the equal lengths of tangents from an external point.
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Sections
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What we have learnt
- A circle consists of points at a constant distance (radius) from a center.
- Tangents intersect a circle at only one point, while secants intersect at two.
- The length of tangents drawn from an external point to a circle are equal.
- The radius at the point of contact with the tangent is perpendicular to the tangent.
Key Concepts
- -- Tangent
- A line that intersects a circle at exactly one point.
- -- Secant
- A line that intersects a circle at two points.
- -- Normal
- The line containing the radius through the point of contact; it is perpendicular to the tangent.
- -- Point of Contact
- The point at which a tangent touches the circle.
Additional Learning Materials
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