What is the area of sector GHJ, given that θ= π/3 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth.

What is the area of sector GHJ given that θ π3 radians Express your answer in terms of π and as a decimal rounded to the nearest tenth class=

Respuesta :

Answer:

[tex]\text{area of sector=4.7 square }\imaginaryI\text{nches}[/tex]

Step-by-step explanation:

The area of a sector when the angle is measured in radians is represented by:

[tex]\text{ area of sector= }\frac{1}{2}r^2\theta[/tex]

The given theta is pi/3, and the radius is 3 inches.

[tex]\begin{gathered} \text{ area of sector=}\frac{1}{2}*3^2*\frac{\pi}{3} \\ \text{ area of sector=}\frac{3}{2}\pi \\ \text{ Convert as a decimal rounded to the nearest tenth:} \\ \text{ area of sector= 4.7 square inches} \end{gathered}[/tex]