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Answer:
\text{Area = 37.699 ft}^2Explanations:

The area of a sector is given by the formula:


\text{Area = }(\theta)/(360)\text{ }\pi r^2

From the circle shown:


\begin{gathered} \text{The radius, r = 4 ft} \\ \text{Angle of the sector, }\theta\text{ = 360 - 90} \\ \theta=270^0 \end{gathered}

Substitute r = 4 and θ = 270 into the formula given above:


\begin{gathered} \text{Area = }(270)/(360)*3.14159*4^2 \\ \text{Area = }37.699ft^2 \end{gathered}

User Severine
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