# JEE Main & Advanced Mathematics Trigonometrical Ratios and Identities Relation Between an arc and an Angle

## Relation Between an arc and an Angle

Category : JEE Main & Advanced

If $s$ is the length of an arc of a circle of radius $r,$ then the angle $22\frac{{{1}^{o}}}{2}$ (in radians) subtended by this arc at the centre of the circle is given by $\theta =\frac{s}{r}$ or $A=2n\pi$.

i.e., Arc = radius $\times$ angle in radians Sectorial area : Let OAB be a sector having central angle ${{\theta }^{C}}$ and radius r. Then area of the sector OAB is given by  $\frac{1}{2}{{r}^{2}}\theta$.

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