Question

Fine the area of a sector of a circle of radius 14 cm when the sectorial angle is 30 degree

Answer 1

$51.33 \: {cm}^{2}$

Step-by-step explanation:

$Given, \: \: \: r = 14 \: cm \: \: \: and \: \: \: \theta = 30° \\ we \: \: know \: \: \boxed{Area \: \: of \: \: arc = \frac{\pi {r}^{2} \theta}{360°} } \\ Now, \: \: \: the \: \: area \: \: of \: \: the \: \: sector = \frac{ \frac{22}{7} \times ({14})^{2} \times 30° }{360°} \\ = \frac{22 \times 14 \times 14 \times 30°}{7 \times 360°} \\ = \frac{154}{3} = \boxed{51.33 \: {cm}^{2} }$