Question

What is the exact length of arc AB?

Answer 1

the exact lenght of arc AB=


`=2. \pi .4.(45)/(360) \quad m \\ \\ \\ = \pi \quad m\\ \\ GoodLuck:)`

Answer 2

The exact length of arc is π m

Explanation:

In the given figure, we need to find length of arc AB

Formula:

`\theta(\text{In radian})=\frac{\text{Length of arc}}{\text{Radius}}`

First we will change degree to radian

`Radian=(degree)/(180^\circ)* \pi`

`Radian=(45^\circ)/(180^\circ)* \pi=(\pi)/(4)`

Radius (r) = 4 m

`(\pi)/(4)=(l)/(4)`

`L=\pi`

The length of arc AB is π m

Hence, The exact length of arc is π m