circle (maths)

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Slide 1:

2x x This is the ARC o Centre of Circle 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. By: manish yadav For better understanding

Slide 2:

2x x o This is the ARC Centre of Circle Angle subtended at the Centre is twice the angle at the circumference Case 2

Slide 3:

x x x We are ALL EQUAL This is the Arc Angles Subtended in the same segment of a circle are equal Chop Sticks Minor Segment Major Segment

Slide 4:

o A B C D x 180- x If this angle was 60 0 then angle BCD would be 180 0 -60 0 =120 0 120 0 Cyclic Quadrilateral 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.

Slide 5:

Tangents T A B O TA=TB NB Triangles OBT and OAT are CONGRUENT! Tangent Tangent

Slide 6:

Major Segment Minor Segment A B C E D 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

Slide 7:

Centre of Circle Diameter The angle in a semi circle is 90 degrees!