Question

the radius of a circle is 3.5 cm what is the area of a sector of angle 120°​

Answer 1

Area of sector = 120 / 360 * pie * r * r
= 1/3 * 22/7 * 3.5 * 3.5
= 1/3 * 22 * 0.5 * 3.5
= 12.83 cm^2

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Answer 2

$\huge{\boxed{\fcolorbox{black}{pink}{Answer}}}$

$\sf\red\rightarrow{Given\:that:}$

$\rightarrow{Radius\:of\:circle\:=\:3.5\:cm$

$\rightarrow{angle\:=\:120°}$

$\sf\rightarrow\blue{To\:find:}$

$\rightarrow{Area\:of\:sector}$

$\sf\rightarrow\pink{Solution:}$

$\rightarrow\sf{Area\:of\:sector\:=\frac{Ф}{360°}×πr^2}$

$\rightarrow\sf{\frac{120°}{360°}×\frac{22}{7}×3.5×3.5}$

$\rightarrow\sf{\frac{1}{3}×22×0.5×3.5}$

$\rightarrow\sf{\frac{22×0.5×3.5}{3}}$

$\rightarrow\sf{\frac{3850}{300}}$

$\rightarrow\sf{\frac{77}{6}}$

∴ Area of sector is 77/6 or 12.83 cm²