Question

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

Answer 1

Given :-

• A circle with radius 9m .

To Find :-

• The length of arc AB .

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 .