If the area of same length in two circles subtend angles of `60^(@)` and `75^(@)` at their centres. Find the ratio of their radii.

If the arcs of the same lengths in two circles subtends angles 65^(@)and110^(@) at the centre, find the ratio of their radii.

If in two circles, arcs of the same length subtend angles 60^(@)and75^(@) at the centre, find the ratio of their radii.

A piece of wire 20 cm long is bent into the form of an arc of a circle subtending an angle of 60^(@) at its centre. Find the radius of the circle.

A chord of a circle of radius 6cm is making an angle 60 ^(@) at the centre.Find the length of the chord.

In the circle of 5cm.radius, what is the length of the arc which subtends and angle of 33^(@)15' at the centre.

The two towers of heights x and y, standing on level ground, subtend angles of 30^(@) and 60^(@) respectively at the centre of the line joining their feet. Then, find x: y

In a circle of radius 21 cm, an arc subtends an angle of 60^(@) at the centre. Find : (1) the length of the arc (2) area of the sector formed by the arc. (3) area of the segment formed by the corresponding chord

In a circle of radius 12cm , a chord subtends an angle of 120^(@) at the centre. Find the area of the corresponding minor segment of the circle (use pi=3.14 and sqrt(3)=1.732)