A  chord of a circle subtends an angle of 120^oat the centre of a circle of diameter $4\sqrt{3}cm$. Calculate the area of the major sector.

The chord ST of a chord ST of a circle is equal to the radius r of the circle. Find the length of the arc ST.

P(–6,1) and Q(6,6) are two ends of the diameter of a circle the radius.

In the diagram above , EFGH is a circle, centre O, FH is a diameter and GE is a chord, which meets FH at right angle at point N. If NH is 8cm and EG= 24cm. Calculate FH

In the diagram above, $\angle RPS={{50}^{o}}$, $\angle RPQ={{30}^{o}}$and PQ = QR . Find the value of $\angle PRS$