A sector of a circle has a diameter of 22 feet and an angle of 2pi/ 3 radius. Find the area of the sector
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Answer

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Step 1

where $r$ is the radius of the circle and $\theta$ is the angle of the sector in radians.
The area of a sector of a circle is given by the formula:

Step 2

r=rac12(22extfeet)=11extfeetr = rac{1}{2} (22 ext{ feet}) = 11 ext{ feet}
In this problem, the diameter of the circle is 22 feet, so the radius is half of that:

Final Answer

The area of the sector is
121racπ3121 rac{\pi}{3}
square feet.