K. C. Sinha Solutions for Chapter: Angles and Their Measures, Exercise 1: EXERCISE 1.1

Find the degree measures corresponding to the following radian measures ${\left(-4\right)}^c$

Express the following angle in radian measure:

$105°$

Express the following angle in radian measure:

$25°$

Express the following angle in radian measure:

$240°$

Find the angle between the hour-hand and minute-hand in circular measure at $4$ o' clock. 

 A wheel makes $30$ revolutions per minute. Find the radian measure of the angle described by one of the spokes of the wheel in $\frac{1}{2}$ second.

Assuming the average distance of the earth from the sun to be $149700000 \mathrm{km}$ and the angle subtended by the sun at the eye of a person on the earth to be $32$', find the sun's diameter.

A truck is travelling on a circular road of radius $1500$metres at $66 \mathrm{km}/\mathrm{hr}$. Through what angle (in radians) does it turn in $10$ seconds?