Question

A circular wire of radius $3cm$, is cut and bent into an are of circle of radius $48cm$. Find the angle subtended by the center in degrees.

Answer 1

Circumference of circle $=2\pi r=2\times 3.14\times 3$

$=6\times 3.14$

$=18.84cm$

For this arc,m

arc length $=$ circumference $=18.84cm$

$r=S\theta \therefore \theta =\frac{r}{S}=\frac{48}{18.84}={2.54}^{\circ }$

$\therefore$ angle subtended by the center $={2.54}^{\circ }$.