Given :-
- A circle with radius 9m .
To Find :-
Solution :-
In the given figure arc AB subtends an angle of 124° at the centre . Firstly convert this into radians as ,
[tex]\longrightarrow \pi rad. = 180^o[/tex]
So,
[tex]\longrightarrow 124^o = \dfrac{\pi}{180^o}\times 124^o [/tex]
[tex]\\\longrightarrow 124^o = 2.16 \ rad [/tex]
Now we may use the formula ,
[tex]\longrightarrow length = radius \times \theta [/tex]
Substitute the respective values,
[tex]\longrightarrow \widehat{AB}= 9m\times2 .16 [/tex]
Multiply ,
[tex]\longrightarrow \underline{\underline{\widehat{AB}= 19.48 \ m}} [/tex]
Hence the required answer is 19.48m .
