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## Mathematics / Circle

### Mathematics / Circle

A circle is a geometrical shape which has no corners or edges. The circle has a centre point and a circumference which is a set of all points at a fixed distance from the centre of the circle. The distance from the centre of the circle to the circumference is called the radius of the circle. You can draw a circle using a compass.

Chord of a circle is a line that joins two points on the circumference of a circle. The diameter of a circle is its longest chord.

An arc of a circle is a continuous part of the circumference of the circle.

A sector of a circle is the area/region between an arc and the center of the circle.

A chord divides the area of a circle into two segments. The smaller area is called Minor segment and the bigger area is called Major segment.

A tangent to a circle is the line that intersects the circle at exactly one point.

A secant is the line that intersects the circle at two distinct points.

Exercises
Lessons
Topics
Exercises
Lessons
Topics
• ### Tangent to a Circle -- SmartTest

• Questions: 70

### Circles -- SmartTest

• Questions: 100

### Cyclic quadrilateral -- SmartTest

• Questions: 25

### Angles subtended by Arc of a Circle -- SmartTest

• Questions: 25
• Tangents and its properties
• Theorem - Tangent at any point to the circle is perpendicular to the radius and its converse
• Number of tangents from a point to a circle
• Theorem- The length of two tangent segments drawn from a point outside the circle are equal
• Touching circles
• Introduction to an arc
• Angle subtended by the arc to the centre and to the point on the circle