Question

What is the exact length of arc AB?

Answer 1

The exact lenght of arc AB=

$=2. \pi .4.\frac{45}{360} \quad m \\ \\ \\ = \pi \quad m\\ \\ GoodLuck:)$

Answer 2

Answer:

The exact length of arc is π m

Step-by-step explanation:

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

Formula:

$\theta(\text{In radian})=\dfrac{\text{Length of arc}}{\text{Radius}}$

First we will change degree to radian

$Radian=\dfrac{degree}{180^\circ}\times \pi$

$Radian=\dfrac{45^\circ}{180^\circ}\times \pi=\dfrac{\pi}{4}$

Radius (r) = 4 m

$\dfrac{\pi}{4}=\dfrac{l}{4}$

$L=\pi$

The length of arc AB is π m

Hence, The exact length of arc is π m