If two circles arc of the same length subtend angles `60^@` and `75^@` at the centre , Find the ratio of their radii.

If the arcs of the same length in two circles subtend angles 60^@ and 90^@ at their centres . Find the ratio of radii.

If the arcs of the same lengths in the two circles subtend angles 65^@ and 110^@ at the centre, find the ratio of their radii.

The picture shows two circles with the same centre and two triangles formed by joining the centre to the points of intersection of the circles with two radii of the larger circle. prove that these triangles are similar .

The diameters of two cylinders having the same height are in the ratio 2: 3 . a) What is the ratio of their radii? b) What is the ratio of their volumes? c) If volumes of two cylinders having the same height are in the ratio a : b , then what is the ratio of their radif?

In a circle a chord of length 42 cm is 20 cm away from the centre. Find the radius of the circle.

If an arc of length l of a circle of radius r subtends an angle theta radians at the centre what is the relation connecting l , r , theta