1.

Find the area of a sector of a circle with radius 6 CM if angle of the sector is 60​

Answer»

\huge\mathbb{\underline{SOLUTION:-}}

\sf\underline{\underline{\purple{\:\:\: Given:-\:\:\:}}}

\sf\bullet angle \:of\: <klux>SECTOR</klux>=60{}^{\circ}\\ \\ \sf\bullet Radius=6cm

We have to FIND the AREA of sector

\boxed{\sf{Area\:of\:sector=\dfrac{ \theta}{360{}^{\circ}}\pi r{}^{2}}}

\sf\implies Area=\dfrac{\cancel{60}}{\cancel{360}}\times \dfrac{22}{7}\times (6){}^{2}\\ \\ \sf\implies Area=\dfrac{1}{6}\times \dfrac{22}{7}\times \cancel{36}\\ \\ \sf\implies Area=\dfrac{22\times 6}{7}\\ \\ \sf\implies Area=\cancel{\dfrac{132}{7}}\\ \\ \sf\implies Area=18.85cm{}^{2}

\boxed{\sf{\purple{Area\:of\:sector=18.85cm{}^{2}}}}


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