In a cyclic-trapezium, the non-parallel sides are equal and the diagonals are also equal.
Prove it.
In the following figure, AD is the diameter of the circle with centre O. chords AB, BC and CD are equal. If DEF = 110, calculate :
(i) AFE,(ii) FAB.
If two sides of a cycli-quadrilateral are parallel; prove thet:
(i) its other two side are equal.
(ii) its diagonals are equal.
The given figure show a circle with centre O. also, PQ = QR = RS and PTS = 75°. Calculate:
(i) POS,
(ii) QOR,
(iii) PQR.
In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. calculate the sizes of :
(i) AOB,
(ii) ACB,
(iii) ABC.
In a regular pentagon ABCDE, inscribed in a circle; find ratio between angle EDA and angel ADC.
In the given figure. AB = BC = CD and ABC = 132° calculate:
(i) AEB,
(ii) AED,
(iii) COD.
In the figure, O is the centre of the circle and the length of arc AB is twice the length of arc BC. If angle AOB = 108° find :
(i) CAB,
(ii) ADB.
The figure shows a circle with centre O. AB is the side of regular pentagon and AC is the side of regular hexagon. Find the angles of triangle ABC.
In the given figire, BD is a side of a regularhexagon, DC is a side of a regular pentagon and AD is adiameter. Calculate:
(i) ADC,
(ii) BAD,
(iii) ABC,
(iv) AEC.
No comments:
Post a Comment