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24 votes
24 votes
Find the grazing area.

User GreySage
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1 Answer

7 votes
7 votes

Answer

Grazing Area = 339.43 square units

Step-by-step explanation

The area of the grazing are is the area of the sector outside the shaded square.

The area of a sector is given as


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

where

θ = Angle subtended at the center of the circle by the sector = 360° - 90° = 270°

π = pi = 3.142

r = radius of the circle = 12 units


\begin{gathered} \text{Area = }(\theta)/(360\degree)*\pi r^2 \\ \text{Area = }(270\degree)/(360\degree)*\pi*12^2 \\ \text{Area = 339.43 square units} \end{gathered}

Hope this Helps!!!

User Dhruvil Patel
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