In the diagram, O is the centre of the circle \[\angle XOZ={{(10m)}^{\circ }}\] and \[\angle XWZ={{m}^{\circ }}\]calculate the value of m

In the diagram $\overline{YW}$is a tangent to the circle at X, $\left| UV \right|=\left| VX \right|$and $\angle VXW={{50}^{\circ }}$, find the value of $\angle UXY$ 

In the diagram , O is the centre of the circle. Find the value of x

In the diagram GI is a tangent to the circle at H. If $EF\parallel GI$ calculate the size$\angle EHF$

In the diagram, O is the centre of the circle, $\angle SQR={{60}^{{}^\circ }},\angle SPR=y$ and $\angle SOR=3x$ find the value of (x + y)

In the diagram, the tangent MN makes an angle of 55^o with the chord PS. If  O is the centre of the circle, find $\angle RPS$

 A circle is divided into two sectors in the ratio 3 : 7. If the radius of the circle is 7cm, Calculate the length of the minor arc of the arc

The perimeter of a sector of a circle 4cm is $(\pi +8)cm$ . Calculate the angle of the sector

In the diagram OP and OR are radii, $\left| PQ \right|=\left| QR \right|$ and reflex $\angle POR$ is 240^o. Calculate the value of x

In the diagram, $\left| SR \right|=\left| QR \right|,\text{ }\angle SRP={{65}^{{}^\circ }},$$\text{and }\angle RPQ={{48}^{{}^\circ }}$ find $\angle PRQ$