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Angle and Cyclic Properties of a Circle | ICSE | CBSE | Mathematics
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Angle and Cyclic Properties of a Circle | ICSE | CBSE | Mathematics
In this video all the angle an cyclic properties of a circle, as per ICSE Grade 10 Mathematics syllabus, is explained with examples.
Timeline:
0:00 - Introduction
0:17 - List of all Theorems
2:16 - THEOREM: The angle subtended by an arc at the centre is double the angle subtended by the same arc, at any point on the remaining part of the circle.
3:40 - THEOREM: The angles in the same segment of a circle are equal.
4:35 - THEOREM: The angle in a semi-circle is a right angle and its converse.
5:20 - THEOREM: The sum of the opposite angles of a cyclic quadrilateral is 180 degrees.
7:41 - THEOREM: The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
Also Watch:
List of all ANGLE AND CYCLIC PROPERTIES OF A CIRCLE
Detailed explanation of all ANGLE AND CYCLIC PROPERTIES OF A CIRCLE
Proof of the theorem “the angle subtended by an arc at the centre is double the angle subtended by the same arc, at any point on the remaining part of the circle”
Proof of the theorem “the sum of the opposite angles of a cyclic quadrilateral is 180 degrees”
In this video all the angle an cyclic properties of a circle, as per ICSE Grade 10 Mathematics syllabus, is explained with examples.
Timeline:
0:00 - Introduction
0:17 - List of all Theorems
2:16 - THEOREM: The angle subtended by an arc at the centre is double the angle subtended by the same arc, at any point on the remaining part of the circle.
3:40 - THEOREM: The angles in the same segment of a circle are equal.
4:35 - THEOREM: The angle in a semi-circle is a right angle and its converse.
5:20 - THEOREM: The sum of the opposite angles of a cyclic quadrilateral is 180 degrees.
7:41 - THEOREM: The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
Also Watch:
List of all ANGLE AND CYCLIC PROPERTIES OF A CIRCLE
Detailed explanation of all ANGLE AND CYCLIC PROPERTIES OF A CIRCLE
Proof of the theorem “the angle subtended by an arc at the centre is double the angle subtended by the same arc, at any point on the remaining part of the circle”
Proof of the theorem “the sum of the opposite angles of a cyclic quadrilateral is 180 degrees”
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