Question

A circle has a radius of 5.5A. A sector of the circle has a central angle of 1.7 radians. Find the area of the sector. Do not round any intermediate computations. Round your answer to the nearest tenth

Answer 1

The circle has the following parameters:

`\begin{gathered} \text{Radius = }5.5ft \\ \text{Angle = 1.7 Radians} \end{gathered}`

We have to figure out the area of the sector of this circle that has the given angle and radius.!

`\begin{gathered} A(\text{sector) = }(1.7r)/(2\pi r)*2\pi(5.5)^2ft^2 \\ =(1.7*5.5)ft^2 \\ =9.35ft^2 \end{gathered}`

This is the area of the sector that we were interested in.!