Circles Test - ...

In given figure, BC is a diameter of the circle and $$\displaystyle \angle BAO=60^{\circ}\,$$. Then$$\,\angle ADC$$ is equal to

In given figure, if $$\displaystyle \angle OAB$$ = $$\displaystyle 40^{\circ},$$ then $$\displaystyle \angle ACB$$ is equal to:

In the figure above AQ = CT and $$\displaystyle \angle QAC=70^{\circ}$$ Find $$\displaystyle \angle ACT$$

In a cyclic trapezium ABCD, $$\angle{A}=100^\circ$$. Then, $$\angle{D}$$ is equal to:

For a $$\triangle PQR$$ with points $$P, Q$$ and $$R$$ lying on a circle, if  $$RP$$ is the diameter of the circle and $$PQ = 5\ cm$$ and $$QR = 12\ cm$$. Find radius of the circle. 

For a triangle ABC, with BC as the diameter of circle, if radius is 5 cm and AB = 8 cm. Find AC .

Find the values of the x and y, where O denotes the centre of the circle.

Find the values of $$x, y$$ and $$z$$, where $$O$$ denotes the centre of the circle.

Find the values of $$x$$ and $$y$$.

Find the values of $$y$$ and $$z$$, where $$O$$ denotes the centre of the circle.