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

Q (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

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(i)  We know that

   l = r \theta
Now, 
                    r = 75cm
                    l = 10cm

So, 
         \theta = \frac{l}{r} = \frac{10}{75} = \frac{2}{15}radian

(ii)   We know that

   l = r \theta
Now, 
                    r = 75cm
                    l = 15cm

So,
            \theta = \frac{l}{r} = \frac{15}{75} = \frac{1}{5}radian 

(iii)  We know that

   l = r \theta
Now, 
                    r = 75cm
                    l = 21cm

So,    
           \theta = \frac{l}{r} = \frac{21}{75} = \frac{7}{25}radian

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