Relation between Radian and Degree

Q. 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 .

Q.

Find in degrees the angle subtended at the centre of a circle of a diameter 50 cm by an arc of length 11 cm.

Q. Find the angle in radian though 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

Q.

Find the radian measures corresponding to the following degree measures:

(i) ${25}^0$

(ii) $-{47}^0{30}^{\prime }$

(iii) ${240}^0$

(iv) ${520}^0$

Q. Find the degree measures corresponding to the following radian measures . (i) (ii) – 4 (iii) (iv)

Q. Find the radian measures corresponding to the following degree measures: (i) 25° (ii) – 47° 30' (iii) 240° (iv) 520°

Q. Find the angle in radian though which a pendulum swings if its length is $75$ cm and the tip describes an arc of length

Q. The angle (in degrees) subtended at the centre of a circle of diameter $50$ cm by an arc of length $11$ cm is

1. ${12}^{\circ }{25}^{\prime }$
2. ${25}^{\circ }{12}^{\prime }$
3. ${65}^{\circ }{32}^{\prime }$
4. ${32}^{\circ }{65}^{\prime }$

Q. At what time between $6\text{a.m.}$ and $7\text{a.m.}$ will the minute hand and hour hand of a clock make an angle ${59}^{\circ }$ ?

1. $6:21\text{a.m.}$
2. $6:22\text{a.m.}$
3. $6:23\text{a.m.}$
4. $6:24\text{a.m.}$