A circular wire of radius 7cm is cut and bend again into an arc of a circle of radius 12cm angle subtended by the arc at the centre is

Explanation

Given, radius of circular wire `=7 cm`


Circumference of wire `=2 pi r=2 pi(7)=14 pi`


Radius of `arc=12 cm`


Angle subtended by the arc `=frac{arc}{text { radius }}=frac{14 pi}{12}=frac{7 pi}{6}`


Angle subtended by arc `=frac{7 pi}{6} times frac{180}{pi}=210^{circ}`