Find, in degree measure, the angle subtended at the centre of a circle of radius 3 cm by an arc of length 1 cm.
In a circle of 5 cm radius, what is the length of the arc which subtends an angle of at the centre?
A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and describes 88 metres when it has traced out at the centre, find the length of the rope.
A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by angle at the centre in a distance of 40 metres ?
The angles of a triangle are in A.P. and the least angle is . Find the greatest angle in radian measure.
The angles of a quadrilateral are in A.P. and the greatest angle is double the least. Express the angles in radians.
[Hint : ∠A = (a – 3d)°, ∠B = (a– d)°, ∠C = (a + d)° and
D = (a + 3d)° ; ∠A + ∠B + ∠C + ∠D = 360° ; etc.]