Question

A wire of length 10 cm, is bend so as to form an arc of radius 4 cm. What is the angle subtending at the centre in degree?

Answer 1

Length of wire/arc $l=10cm$

Length of the radius of the arc formed $r=4cm$

We have the equation for the central angle in radians, $\theta =\frac{l}{r}$

$\theta =\frac{10}{4}=2.5radians$ Or

$\theta =(2.5\times \frac{180}{\pi }{)}^{\circ }$

$\theta ={143.18}^{\circ }$