If in two circles, arcs of the same length subtend angles $60^{\circ}$ and $75^{\circ}$ at the centre, find the ratio of their radii.

In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.

Find the radian measures corresponding to the following degree measures: (iii) $240^{\circ}$

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

Find the radian measures corresponding to the following degree measures: (iv) $520^{\circ}$

Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm (Use $\pi = \frac{22}{7}$).

Find the radian measures corresponding to the following degree measures: (i) $25^{\circ}$

Find the radian measures corresponding to the following degree measures: (ii) $- 47^{\circ}30'$

Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length (ii) 15 cm

Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length (iii) 21 cm

Find the angle in radian through which a pendulum swings if its length is 75 cm and the tip describes an arc of length (i) 10 cm

Find the degree measures corresponding to the following radian measures (Use $\pi = \frac{22}{7}$). (iv) $\frac{7\pi}{6}$

Find the degree measures corresponding to the following radian measures (Use $\pi = \frac{22}{7}$). (iii) $\frac{5\pi}{3}$

Find the degree measures corresponding to the following radian measures (Use $\pi = \frac{22}{7}$). (ii) $-4$

Find the degree measures corresponding to the following radian measures (Use $\pi = \frac{22}{7}$). (i) $\frac{11}{16}$