Q1
What is a chord?
AA line segment connecting two points on a circle
BThe centre of a circle
CA type of angle
DA type of triangle
ICSEClass 9 (ICSE)MathematicsCh 17 · Topic 2
Practice and Revision - Circle
Let us practise and revise what we learned about circle. A circle is a set of points equidistant from a centre, with properties involving ch
Core concept
A chord is a line segment connecting two points on a circle, and the diameter is the longest possible chord, passing through the centre.
How it works
A tangent touches a circle at exactly one point, and it is always perpendicular to the radius drawn to that point.
Why it matters
The angle subtended by an arc at the centre is twice the angle subtended by the same arc at any point on the remaining circle.
Key detail
Understanding circle theorems helps us solve geometry problems involving circular shapes, arcs, and angles.
Exam highlight
Key diagram
Keywords worth remembering
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Quick notes
• A chord connects two points on a circle.
• The diameter is the longest chord, through the centre.
• A tangent touches a circle at one point.
• A tangent is perpendicular to the radius at that point.
• Central angle = 2 × angle at the remaining circle (same arc).
• This is a key circle theorem.
• These theorems solve circular geometry problems.
• Understanding circles builds strong geometry skills.