THE CENTRAL ANGLES AND THE CIRCUMFERENCE ANGLE Must-Sulist

THE CENTRAL ANGLES AND THE CIRCUMFERENCE ANGLE Must-Sulist

Contents l l l Central Angle Opposite angles in cyclic quadrilateral Alternate Segment Theorem Circle Theorems on the Web

Central Angle and circumference Angle Q Draw line QO and extend to intersect circumference at S ba Label angles O

Central Angle and circumference Angle Q

Central Angle and circumference Angle Q Consider

Centeral Angle and circumference Angle Q

Then, The central angle is twice the circumference angle if facing the same arc Q

Opposite Angles in a Cyclic Quadrilateral are supplementary Required to Prove that x + y = 180º x Draw in radii 2 y The angle at the centre is TWICE the angle at the circumference 2 x 2 x + 2 y = 360º y 2(x + y) = 360º x + y = 180º Opposite Angles in Cyclic Quadrilateral are Supplementary Return to Menu

exercise 1. a. AOB is called : . . b. ACB is called : . . c. AOB =. . . x ACB d. ACB =. . . x AOB

2. Consider the figure below and than determine the siza AOB

3. Consider the figure beloww and then determine the size of P and Q