Question

area of a sector of central angle 120 in a circle of radius 3 cm

Answer 1

Answer:

$\frac{66}{7}cm^{2}$

Step-by-step explanation:

Area of sector =$\frac{ \pi r^{2} }{360}$*θ

                        = $\frac{\frac{22}{7}*3*3*120}{360}$

                        = $\frac{66}{7}$

Answer 2

$\huge\boxed{\underline{\bf { \red S \green o \pink L \blue u \orange T \purple i\red O \pink n \green{..}}}}$

Step-by-step explanation:

$\sf\mathbb\color{red} {Given, }$

• Area of central angle 120°
• A circle of radius 3cm

$\sf\mathbb\color{lightgreen} {Solution}$

The area of the sector with a central angle and radius value is given by :$\sf\mathbb\color{green} { \frac{n}{360} \pi {r}^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{blue} { = \frac{120}{360} \times \pi \times {(3)}^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{blue} { = \frac{120}{360} \times \pi \times 3 \times 3}$

$\: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{blue} { = \frac{120}{120} \times \pi \times 3}$

$\: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{blue} { = \frac{120}{40} \times \pi}$

$\: \: \: \: \: \: \: \: \: \: \: \: \sf\mathbb\color{blue} { = 3\pi \:cm² } \: \: \: \: \: \: \: \sf\mathbb\color{green} {answer}$