Question

The diameter of the circle is $10\text{cm},$ then find the length of the arc whose corresponding central angle is ${45}^{\circ }$. $(\pi =3.14)$.

Answer 1

Central angle $\theta ={45}^o$
Given, $d=10$ cm
$\therefore r=5$ cm
$\therefore$ Length of the arc $\left(l\right)=\frac{\theta }{360}\times 2\pi r$
$=\frac{45}{360}\times 2\times 3.14\times 5$
$=3.925$ cm

Therefore, length of arc is $3.925$ cm.