Section 1
Introduction
Find the radian measures corresponding to the following degree measures:(i) $25^{\circ}$(ii) $-47^{\circ} 30^{\prime}$(iii) $240^{\circ}$(iv) $520^{\circ}$
Find the degree measures corresponding to the following radian measures(Use $\pi=\frac{22}{7}$ ).(i) $\frac{11}{16}$(ii) $-4$(iii) $\frac{5 \pi}{3}$(iv) $\frac{7 \pi}{6}$
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Find the degree measure of the angle subtended at the centre of a circle ofradius $100 \mathrm{~cm}$ by an arc of length $22 \mathrm{~cm}$ (Use $\pi=\frac{22}{7}$ ).
In a circle of diameter $40 \mathrm{~cm}$, the length of a chord is $20 \mathrm{~cm}$. Find the length of minor arc of the chord.
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.
Find the angle in radian through which a pendulum swings if its length is $75 \mathrm{~cm}$ and th e tip describes an arc of length(i) $10 \mathrm{~cm}$(ii) $15 \mathrm{~cm}$(iii) $21 \mathrm{~cm}$