Exercise 3.1
Q1. Find the radian measures corresponding to the following degree measures:
(i) 25° (ii) - 47°30' (iii) 240° (iv) 520°
Solution:
(i) 25°
Q3. A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?
Q4. 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 π = 22/7).
Q5. In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.
Q6. If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.
Q7. 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 (ii) 15 cm (iii) 21 cm
