A rotating ray makes an angle π. Let us write by calculating, in which direction the ray has completely rotate and there after what more angle it has produced.

The length of a radius of a circle is 28 cm. Let us determine the circular value of angle subtended by an arc of 5.5 cm length at the centre of this circle.

The ratio of two angles subtended by two arcs of unequal lengths at the centre is 5:2 and if the sexagesimal value of the second angle is 30°. Then let us determine the sexagesimal value and the circular value of the first angle.

I have drawn an isosceles triangle ABC whose included angle of two equal sides is ∠ABC=45°; the bisector of ∠ABC intersects the side AC at the point D let us determine the circular values of ∠ABD, ∠BAD, ∠CBD and ∠BCD.

The base BC of the equilateral triangle ABC is extended upto the point E so that CE=BC. By joining A,E, let us determine the circular values of the angles of ΔABC