Question

A wire of length $121$cm is bent so as to lie along the arc of a circle of radius $180$cm. Find the degrees, the angles subtended at the centre by the arc.

Answer 1

Total length of wire = $121cm$

Radius. = $180cm$

We know that length of arc = radius $\times$ angle substented in radians

Therefore,

$121.=.180\times$ angle in radians

Angle= $\frac{121}{180}$

Angle in radians= $0.6722$

Angle in degrees =$\frac{(angleinradians\times 180)}{3.14}$

= $\frac{121}{3.14}$

=$38.53$ degrees

Hence angle substented is $38.53$ degrees