Question

find the area of sector of a circle whose radius is 6 cm and lenght of corresponding arc is 12 cm​

Answer 1

Step-by-step explanation:

Area of a sector of circle when radius and length of arc of circle is given, is given as:

$A = \frac{r}{2} \times l \\ \implies \: A = \frac{6}{2} \times 12 \\ \implies \: A = 3 \times 12 \\ \implies \: \huge \fbox{A = 36 \: {cm}^{2} }$

Answer 2

angle of the arc=lx 360/2πr

= 12x360x/2x3.14x6=114.6 degree

Area of the sector = Xxπxr ^2/360

114.6x3.14x36/360=36cm2. Ans