Question

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.

Answer 1

`\text{area of sector=4.7 square }\imaginaryI\text{nches}`

Explanation:

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

`\text{ area of sector= }(1)/(2)r^2\theta`

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

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