Circle Theorem

Published in: Mathematics
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• Debarun S

• Kolkata
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Basic and important theorem based on circle. useful for secondary level students of mathematics

• 1
O Centre of Circle This is the ARC The Angle x subtended at the centre of a circle by an arc is twice the size of the angle on the circumference subtended by the same arc.
• 2
ease Centre of Circle O This is the ARC Angle subtended at the Centre is twice the angle at the circumference
• 3
We are ALL EQUAL Major Segment Minor Segment This is the Arc Subtended in the same segmeoe
• 4
O Cyclic Quadrilateral 8 If this angle was 600 then angle BCD would be 1800-600=1200 C 1200 Points which lie on the circumference of the same circle are called cyclic (or concyclic) points. A cyclic quadrilateral is a quadrilateral with all its four corners (vertices) on the circumference of the same circle.
• 5
B â/?gent Țangent TA=TB
• 6
E B Major Segment C Minor Segment The Shaded Segment BED is called the alternate segment to the angle CBD The angle between a tangent to a circle and a chord drawn through the point of contact is equal to any angle subtended by the chord at the circumference in the alternate segment
• 7
a semi circle is 90 Centre of Circle Diameter
• 8
END OF THE SLIDE. THANK YOU

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