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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