14. Determine the arc length of AB. Give your answer to two decimal places.

Question

asked Aug 2, 2023 211k views

1 Answer

Kkamenev · Answer 1 · 2023-08-08T01:49:18+0000

Given :-

To Find :-

Solution :-

In the given figure arc AB subtends an angle of 124° at the centre . Firstly convert this into radians as ,

$\longrightarrow \pi rad. = 180^o$

So,

$\longrightarrow 124^o = (\pi)/(180^o)* 124^o$

$\\\longrightarrow 124^o = 2.16 \ rad$

Now we may use the formula ,

$\longrightarrow length = radius * \theta$

Substitute the respective values,

$\longrightarrow \widehat{AB}= 9m*2 .16$

Multiply ,

$\longrightarrow \underline{\underline{\widehat{AB}= 19.48 \ m}}$

Hence the required answer is 19.48m .