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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
    • Cyclic quadrilateral
    • Tangent - Secant theorem
  • Circle -Basics -- Summary

    Learnhive Lesson on Circle -Basics

    Tangent to a Circle -- Summary

    Learnhive Lesson on Tangent to a Circle

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