Enrol to start learning
Reading is open to everyone. Enrolling is free, and it is what unlocks the audio lessons, practice tests and progress tracking.
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.
Sections
This section explores the properties of circles, specifically focusing on the concept of tangents and their relationship to radius and secants.
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.
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.
Practice Exercises
Total Questions
3
Estimated Time
6 min
Passing Score
70%
Instructions
- Read each question carefully
- You can use hints if you need help
- Complete all questions before submitting