A chord 7cm long, is drawn in a circle with radius 3.7cm. Calculate the distance of the chord from the centre of the circle

In the diagram, O is the centre of the circle, $OM\parallel XZ$and $\angle ZOM={{25}^{\circ }}$. Calculate $\angle XYZ$

In the diagram $\overline{VX}$is a tangent to the tangent to the circle UYW at W. If $WY\parallel UV$, $\angle UYW={{95}^{\circ }}$ and $\angle UWY={{46}^{\circ }}$find $\angle UVW$

A chord is 2cm from the centre of a circle. If the radius of the circle is 5cm, find the length of the chord.