Question

What is the area of a sector bounded by a 90 degree arc

Answer 1

Area of the sector = 0.785 ft²

Explanation;

radius = 1 foot

θ = 90°

Formula for area of sector:

`Area\text{ }of\text{ }a\text{ }sector=\theta/360*\pi r^2`
`\begin{gathered} \text{let }\pi\text{ = 3.14} \\ A\text{ rea = }(90)/(360)*3.14*1^2 \\ \end{gathered}`
`\begin{gathered} \text{Area of sector }=\text{ 1/4 }*\text{ 3.14} \\ \text{Area of the sector = 0.785 square f}eet \end{gathered}`