R D Sharma Solutions for Chapter: Measurement of Angles, Exercise 1: EXERCISE 4.1

Find the magnitude, in radians and degrees, of the interior angle of a regular pentagon

Find the magnitude, in radians and degrees, of the interior angle of a regular octagon.

Find the magnitude, in radians and degrees, of the interior angle of a regular heptagon

Find the magnitude, in radians and degrees, of the interior angle of a regular duo decagon.

A wheel makes $360$ revolutions per minute. Through how many radians does it turn in $1$ second?

The angle in radians through which a pendulum swings if its length is $75 \mathrm{c}\mathrm{m}$ and the tip describes an arc of length $15 \mathrm{c}\mathrm{m}$ is $k^c$. Find $k$.

The angle in radians through which a pendulum swings if its length is $75 \mathrm{c}\mathrm{m}$ and the tip describes an arc of length $21 \mathrm{c}\mathrm{m}$ is $k^c$. Find $k$.

A railway train is travelling on a circular curve of $1500$ metres radius at the rate of $66 \mathrm{k}\mathrm{m}/\mathrm{h}\mathrm{r}$. Through what angle has it turned in $10$ seconds?