You have to be at your strongest when you’re feeling at your weakest.

NCERT Exercise 3.1 |

2. Find the degree measures corresponding to the following radian measures \( \left ( \text{ use } \pi = \frac{22}{7} \right )\)

(i) \( \frac{11}{6}\)

(ii) \(-4\)

(iiii) \(\frac{5\pi}{3}\)

(iv) \(\frac{7\pi}{6}\)

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

4. 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 \( \left ( \text{ use } \pi = \frac{22}{7} \right )\) .

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

6. If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

7. 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